# On graph paper, draw four different rectangles that each have an area of 24 square units. Then find the perimeter of each one.

QUESTION POSTED AT 05/12/2019 - 03:46 PM

### Answered by admin AT 05/12/2019 - 03:46 PM

My first rectangle is 1 unit wide and 24 units long. Its area
is 24 square units and its perimeter is 50 units.

My second rectangle is 2 units wide and 12 units long. Its area
is 24 square units and its perimeter is 28 units.

My third rectangle is 3 units wide and 8 units long. Its area
is 24 square units and its perimeter is 22 units.

My fourth rectangle is 4 units wide and 6 units long. Its area
is 24 square units and its perimeter is 20 units.

## Related questions

### A quarter has a diameter of approximately 24 millimeters. What is the area of the quarter? Approximate Π as 3.14.

The answer is 452.16 cubic milimeters

ANSWERED AT 22/01/2020 - 02:28 AM

QUESTION POSTED AT 22/01/2020 - 02:28 AM

### The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x + 21)^2 + (y + 19)^2 = 849 . The center of the circle is at the point A(-19, -21) B(-21, -19) C(19, 21) D(21, 19) , and its radius is A. 127^(1/2) B. 849^(1/2) C. 851^(1/2) D. 47 units. The general form of the equation of a circle that has the same radius as the above circle is A. x^2 + y^2 + 60x + 14y + 98 = 0 B. x^2 + y^2 + 44x - 44y + 117 = 0 C. x^2 + y^2 - 38x + 42y + 74 = 0 D. x^2 + y^2 - 50x - 30y + 1 = 0 . Someone please help with those 3 multiple choice ones.

For the center of this circle the right choice will be choice B. (-21,-19)

and its radius sqrt849 = 849^(1/2) so choice B. is right for this too

ANSWERED AT 22/01/2020 - 02:27 AM

QUESTION POSTED AT 22/01/2020 - 02:27 AM

### One gallon of paint usually covers about 350 square feet. How many square feet will 2.5 gallons cover? Label your answer.

875 square feet

350 x 2.5 = 875
label in square feet

ANSWERED AT 22/01/2020 - 02:24 AM

QUESTION POSTED AT 22/01/2020 - 02:24 AM

### To find the percent of a discount, ______________. A. find the percent of decrease from the original price to the new price. B. find the percent of increase from the new price to the original price. C. multiply the original price by the new price. D. divide the new price by the original price.

The correct and best answer would be letter B. To find the percent of a discount, you have to find or solve for the percent of increase from the new price to the original price. This is because you usually have the new price being given to you so you compare it with the old price to know the percent discount.

ANSWERED AT 22/01/2020 - 02:23 AM

QUESTION POSTED AT 22/01/2020 - 02:23 AM

### A ball has a diameter of 14 inches. Which choice is closest to its surface area? Use 3.14 to approximate pi.

So we know the formula to find the surface area of a sphere (ball) is:
4 x pi x r^2

to find the radius, divide the diameter by 2 to get:
14 / 2 = 7

now we substitute in the values:
4 x pi x 7^2

simplify:
4 x pi x 49

simplify:
12.56 x 49

simplify:
615.44 inches

the answer is above in bold
hope it helped :)

ANSWERED AT 22/01/2020 - 02:22 AM

QUESTION POSTED AT 22/01/2020 - 02:22 AM

### Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Check all that apply. Ava’s graph is a vertical translation of f(x) = x2. Victor’s graph is a vertical translation of f(x) = x2. Ava’s graph moved 4 units from f(x) = x2 in a positive direction. Victor’s graph moved 4 units from f(x) = x2 in a positive direction. Ava’s graph has a y-intercept of 4. Victor’s graph has a y-intercept of 4.

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function .

Victor graphs the function

To find y intercept we plug in 0 for x

= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.

ANSWERED AT 22/01/2020 - 02:21 AM

QUESTION POSTED AT 22/01/2020 - 02:21 AM

### Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M. What is the length of ?

Apply heron's formula to get the area of the triangle.
since it is an equilateral triangle, we know that each side is 32mm.
we get the length of the line (h) from area = bh/a

27.7

ANSWERED AT 22/01/2020 - 02:19 AM

QUESTION POSTED AT 22/01/2020 - 02:19 AM

### Simplify 2 to the 5th over 3 squared all raised to the 4th power.

2^5 over 3^2 all to the ^4

2x2x2x2x2=32
3x3=9
32/9^4
32x32x32x32=1048576
9x9x9x9=6561 so in conclusion your answer is 1048576/6561. Hope this helped!

ANSWERED AT 22/01/2020 - 02:18 AM

QUESTION POSTED AT 22/01/2020 - 02:18 AM

### What number should be added to both sides of the equation to complete the square? x2 – 10x = 7

we have

Complete the square. Remember to balance the equation by adding the same constants to each side

to complete the square adds both sides

so

Rewrite as perfect squares

Square root both sides

therefore

The number is

ANSWERED AT 22/01/2020 - 02:18 AM

QUESTION POSTED AT 22/01/2020 - 02:18 AM

### Find the perimeter of rectangle PQRS with vertices P(0,0), Q(0,7), R(12,7) & S (12,0)

P=7+7+12+12P=14+24P=38

See the attachment for diagram

ANSWERED AT 22/01/2020 - 02:17 AM

QUESTION POSTED AT 22/01/2020 - 02:17 AM

### Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and$3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? Okay, so this is a multi-step problem. If there are 82 students, and the cost was$3.75 PER student, we would multiply 3.75 times 82 to get 307.50, and now we would subtract the total amount of sales, ($2,071.50), MINUS the ticket sales made by students, ($307.50). So 2,071.50 - 307.50 = 1,764.
So this means that they made $1,764 in ticket sales from ADULTS. Now to find out how many adults were THERE, (or the amount of adult tickets that were sold), we will divide 1,764 divided by the price of each adult ticket, ($10.50), which will be 1,764 divided by 10.50 = 168.
168 adult tickets were sold.
I hope I helped! =D

ANSWERED AT 22/01/2020 - 02:16 AM

QUESTION POSTED AT 22/01/2020 - 02:16 AM

### Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference? A. No, this is not a valid inference because he asked only 20 families B. No, this is not a valid inference because he did not take a random sample of the neighborhood C. Yes, this is a valid inference because he took a random sample of the neighborhood D. Yes, this is a valid inference because the 29 families speak for the whole neighborhood I know that is not A or B. Please help:)

C, yes cause he took a random sample,

ANSWERED AT 22/01/2020 - 02:14 AM

QUESTION POSTED AT 22/01/2020 - 02:14 AM

### Find the diameter of a circle thr radius of which is 5.5cm

If R = 1/2 D, then D = 2R. if the radius is 5.5, then plug it in and you get 5.5 times 2. Or 11.

ANSWERED AT 22/01/2020 - 02:14 AM

QUESTION POSTED AT 22/01/2020 - 02:14 AM

### R varies directly as s. find r when s=12 and k=2

r varies directly as s,

r=ks

r=(2)(12)
r=24

ANSWERED AT 22/01/2020 - 02:13 AM

QUESTION POSTED AT 22/01/2020 - 02:13 AM

### Which equation has a graph that is a parabola with a vertex at (-2,0)

The required equation of the parabola :  y = x² + 4 + 4x

Step-by-step explanation:

The vertex of the parabola is given to be : (-2 , 0)

The equation of a parabola with a vertex at (h , k) is : f(x) = a(x - h)² + k , where a is a constant not equal to zero.

Now, Vertex : ( h , k) = (-2 , 0)

So, h = -2 and k = 0

⇒ f(x) = a(x + 2)² + 0

⇒ y = a(x + 2)²

Take a = 1

⇒ y = x² + 4 + 4x

This is the required equation of the parabola.

ANSWERED AT 22/01/2020 - 02:13 AM

QUESTION POSTED AT 22/01/2020 - 02:13 AM

### What is the ratio of the area of rectangle ABCF to the area of rectangle ABDE?

The ratio of the area is 2/3

ANSWERED AT 22/01/2020 - 02:09 AM

QUESTION POSTED AT 22/01/2020 - 02:09 AM

### Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

1 is the correct answer because just look at the facts

ANSWERED AT 22/01/2020 - 02:08 AM

QUESTION POSTED AT 22/01/2020 - 02:08 AM

### The diameter of a circular garden is 22 feet. What is the approximate area of the garden?

The formula to find the area of a circle is , where 'r' is the radius, they've given you diameter=22ft, the radius will be half of the diameter, r=11.

ANSWERED AT 22/01/2020 - 02:04 AM

QUESTION POSTED AT 22/01/2020 - 02:04 AM

### Given that T is equidistant from U and S, find x.

47.2 is the eqivilent

ANSWERED AT 22/01/2020 - 02:02 AM

QUESTION POSTED AT 22/01/2020 - 02:02 AM

### A square is inscribed in a circle that has a radius of 2√2 inches. What is the length of the side of the square?

When a square (or any rectangle) is inscribed in a circle, the diagonal
of the square (or rectangle) is a diameter of the circle.

Diagonal of this square = diameter = 2 x radius = 4√2 inches.

But the diagonal of a square is the hypotenuse of the right triangle that's
formed by cutting the square in half corner-to-corner.

So  (diagonal)²  =  (side)²  +  (side)²

2 (side)² = (diameter)²

2 (side)²  =  (4√2)²

2 (side)²  =  16 x 2 = 32

(side)²  =  16

side  =    4 inches

ANSWERED AT 22/01/2020 - 02:02 AM

QUESTION POSTED AT 22/01/2020 - 02:02 AM

### Find the sum of the geometric sequence 4, 16, 64, 256, 1024

4

Step-by-step explanation:

The pattern is that each number is multiplied by 4 so the answer is 4. Oh this was 3 years ago.... raspberries!!

ANSWERED AT 22/01/2020 - 02:02 AM

QUESTION POSTED AT 22/01/2020 - 02:02 AM

### The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. if the base of a triangle is x feet which equation models

Since the choices were not given, the ones below were retrieved from another source: A) 6x^2+x-12=0 B) 6x^2+x-13=0 C) 6x^2+x-26=0 D) 36x^2+6x-26=0 If we let x represent the dimension of the base, then we can represent height as (6x +1). Since the area of the triangle is equal to bh/2, we can express the area in terms of x as x(6x + 1)/2 and equate in to 13. Thus x(6x + 1)/2 = 13 x(6x + 1) = 26 6x² + x = 26 6x² + x - 26 = 0 Thus, the answer is 6x² + x - 26 = 0.

ANSWERED AT 22/01/2020 - 02:01 AM

QUESTION POSTED AT 22/01/2020 - 02:01 AM

### A) The area of a rectangle is 38.25 square yards and its base is 9 yards. What is the height? Do not round your answer.B) The area of a parallelogram is 44.4 square feet and its height is 7.4 feet. What is the length of the base? Do not round your answer.

A). area of a rectangle equal length time width

in this case

38,25 = 9*h

h = 38,25/9 = 4,24

B). area of a parallelogram equal 44,4 square feet and its height is 7,4 feet

Area = length of base time height

44,4 = l * 7,4

l = 44,4 / 7,4 = 6 ft

ANSWERED AT 22/01/2020 - 01:59 AM

QUESTION POSTED AT 22/01/2020 - 01:59 AM

### What operation would I do to find the average of something?

Sum divided by count. Add up all the numbers and divide it by how many numbers it is.

ANSWERED AT 22/01/2020 - 01:58 AM

QUESTION POSTED AT 22/01/2020 - 01:58 AM

### Triangle HIJ has coordinates H(–1, 1), I(1, 4), and J(1, 3). Graph the triangle and its translation 3 units to the right and 2 units down. What are the coordinates of I.

Step-by-step explanation:

We have been given that triangle HIJ has coordinates , and . We are asked to find the coordinate of point I after a translation of 3 units to the right and 2 units down.

The translation of 3 units to right means that we need to add 3 to x-coordinates.

The translation of 2 units down means that we need to subtract 2 from y-coordinates.

Therefore, the coordinates of point I' after translation would be .

ANSWERED AT 22/01/2020 - 01:58 AM

QUESTION POSTED AT 22/01/2020 - 01:58 AM

### What value of b makes the polynomial x2+bc+16 a perfect square

For a perfect square

b² = 4*a*c

Comparing ax² + bx + c = 0 to x² + bx + 16

a = 1,    c = 16

b² = 4*a*c

b² = 4*1*16

b² = 64

b = √64

b = 8

The value of b = 8.

ANSWERED AT 22/01/2020 - 01:57 AM

QUESTION POSTED AT 22/01/2020 - 01:57 AM

### The maximum rate at which a bus can accelerate or decelerate is 2m/s^2 it has a maximum speed of 60km/h. Find the shortest time the bus can take to travel between two bus stops 1 km apart on a straight stretch of road.

Question did not specify that bus was stationary at any point.

60 km/h = 60000/3600  m/s = 16.67 m/s
Shortest time to travel = distance / speed = 1000/(50/3)=60 sec. = 1 min.

If we assume bus was stationary at each stop (if passengers have to get on/off), then acceleration is involved.

Note: at 2 m/s, the bus accelerates from stationary to 60 km/h in 8 seconds!

Using kinematics equation
2aS=v^2-u^2
we have
a=acceleration = 2m/s
S=distance
u=0 initial speed
v=final speed=50/3 m/s=60 km/h
Distance travelled = (v^2-u^2)/(2a)=(50/3)^2/(2*2)=625/9 m=69.33 m.
Remaining distance at 60 km/h
=1000-69.44-69.44=861.11 m
time to travel = 861.11/(50/3)=51.67 s.
Time to accelerate/decelerate= (50/ 3)/2 m/s /  m/s^2 = 8.333 s.
Total time = 51.67+2*8.33=68.33 s.

ANSWERED AT 22/01/2020 - 01:53 AM

QUESTION POSTED AT 22/01/2020 - 01:53 AM

### Find the angular displacement of 1.9 revolutions. Use π=3.14 . Round the answer to the nearest tenth. 5.7 11.9 13.7 12.5

To answer the question above, convert the given displacement in revolutions to radians. The conversion factor is 1 revolution is equal to 6.28 radians.

(1.9 rev) x (6.28 radians / 1 rev) = 11.932 radians

Thus, the closest to this value is 11.9 and the answer is the second choice.

ANSWERED AT 22/01/2020 - 01:51 AM

QUESTION POSTED AT 22/01/2020 - 01:51 AM

### Use the Distributive Property to find the price of 9 CDs that cost $13.99 each. A.$125.91 B. $126.00 C.$126.90 D. $117.00 Answer: Correct option is: A.$125.91

Step-by-step explanation:

Cost of each CD= $13.99 Cost of 9 CDs=$13.99×9

= $13.99(10-1) =$ (13.99×10-13.99×1)   (using distributive property)

= $(139.9-13.99) =$125.91

Hence, Correct option is:

A. \$125.91

ANSWERED AT 22/01/2020 - 01:51 AM

QUESTION POSTED AT 22/01/2020 - 01:51 AM

### Simplify the expression. The quantity 1 divided by 4 end of quantity multiplied by n multiplied by the quantity negative 24 plus 8 multiplied by m minus 100 multiplied by p end of quantity. A. –6n – 2mn + 25np B. –6n + 2mn – 25np C. –6n + 2m – 25np D. –24n + 8mn – 100np

(1/4) *n *(-24 +8m -100*p)= -24n/4 +8mn/4 -100np/4 =

= -6n +2mn -25np

so choice B. is right sure

ANSWERED AT 22/01/2020 - 01:50 AM

QUESTION POSTED AT 22/01/2020 - 01:50 AM