A diagonal of a square is 36 feet long. What is the area of the square?

QUESTION POSTED AT 22/02/2020 - 04:24 PM

Answered by admin AT 22/02/2020 - 04:24 PM

So you can you the Pythagorean theorem to solve this problem.

if each side of the square is a certain length x, then the square is made up of two right triangles.

the sides adjacent to the right angle are length x while the hypoteneus is the diagonal whcih measures 36 feet.

a^2 + b^2 = c^2

x^2 + x^2 = 36^2

2x^2 = 1296

x^2 = 648

x = 25.456

area of a square = x^2 = 648 ft^2
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Related questions

A sprinkler rotates 45 degrees every 15 seconds. How long does it take the sprinkler to rotate 360

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ANSWERED AT 31/03/2020 - 10:45 AM


QUESTION POSTED AT 31/03/2020 - 10:45 AM

What is the area of a circle with circumference of 37.68? (Use 3.14 for p.)

The area of a circle is pi * r^2
circumference is 2 * pi * r

so we have to make the other side look like what area equals:
c = 2pr

divide both sides by 2

c/2 = p* r

square both sides and get
(c^2)/4 = p^2 * r^2

now divide both sides by pi and get
(c^2)/(4*pi) = pi * r^2

compare to area equation
pi * r^2 = a
pi * r^2 = (c^2)/(4*pi)

So
a = (c^2)/(4*pi)

So
a = (37.68^2)/(4 * 3.14)
a = 113.04

ANSWERED AT 31/03/2020 - 10:45 AM


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A tree is 2 feet tall in 2010 and 5 feet tall in 2012. What is the rate of change ?

One point five feet per year

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Is 24 to 36 equivalent ratios

No its not equivelent ratios

ANSWERED AT 31/03/2020 - 10:41 AM


QUESTION POSTED AT 31/03/2020 - 10:41 AM

Pablo ran for president of the chess club, and he received 36 votes . there about 60 members in the club what is the percentage of the club members that voted for Pablo

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ANSWERED AT 31/03/2020 - 10:41 AM


QUESTION POSTED AT 31/03/2020 - 10:41 AM

Explain how u find the area of the base of a pyramid

The base of the pyramid is a square. Area of a square
A= l x w

ANSWERED AT 31/03/2020 - 10:40 AM


QUESTION POSTED AT 31/03/2020 - 10:40 AM

Find the area of the shaded portion of the diagram (use 3.14 for p).A)220.16 square yardsB)6.88 square yardsC)55.04 square yardsD)13.76 square yards

Get the area of the circle. Use this formula: 
Area =  \pi * radius^2

We know the radius is 4 yards.

Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24

Now for the square. Double the radius to get the diameter to get the length of the side.

4 * 2 = 8

Formula for finding the area of a square is
Area = side^2

Area = 8^2
Area = 64

And because we only want to shaded portion, we will subtract the area of the circle from the square.

64 - 50.24 = 13.76

So, 
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ANSWERED AT 31/03/2020 - 10:38 AM


QUESTION POSTED AT 31/03/2020 - 10:38 AM

It takes Ivanna 3 minutes to complete 2 problems on her math homework . How long will it take Ivanna to complete 12 problems?

3 min to complete 2 problems
___ min to complete 12 problems  

It took her 6 min. Why. Divided 12 divided by 2 is 6. So if it took her 3 min to complete 2 problems then it took her 6 min to complete 12 problems. 
  


                      

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

A regular hexagon with side length 4 has the same area as a square. What is the length of the side of the square?

The length of the side of the square would be 6.4

ANSWERED AT 30/03/2020 - 01:31 AM


QUESTION POSTED AT 30/03/2020 - 01:31 AM

A population of 1,000 squirrels lives on a rectangle-shaped farm plot that is 25 feet long by 10 feet wide what is the population density

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1000/250 is 4

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ANSWERED AT 30/03/2020 - 01:30 AM


QUESTION POSTED AT 30/03/2020 - 01:30 AM

If a sphere has a volume of 36 cubic inches, what is the radius

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36 = 4/3 \pi r^3

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ANSWERED AT 29/03/2020 - 11:45 PM


QUESTION POSTED AT 29/03/2020 - 11:45 PM

4 + 12 + 36 + … ; n = 15

I've attached a picture below of the formula for a finite geometric sequence. It includes an infinite geometric sequence formula for your reference, too.

a_1 = 4
r(ratio)= 3
n=15

Plug in the values. 

S_{15} = 4*( \frac{1-3^{15}}{1-3} )
S_{15} = 4*( \frac{1-3^{15}}{-2} )
S_{15} = 4*( \frac{1-14348907}{-2} )
S_{15} = 4*( \frac{-14348906}{-2} )
S_{15} = 4*7174453
S₁₅ = 28697812

ANSWERED AT 29/03/2020 - 11:43 PM


QUESTION POSTED AT 29/03/2020 - 11:43 PM

Find the area and peri19.6 ft13 ftA

The area is 38 because whenever you have to find the area in an equation you always add up the total sides. The shape is a rectangle and the only numbers they give is 6 and 13 obviously the sides are equal so the opposite side of 13 is 13 and the opposite side of 6 is 6 because they're both a certain length. In total you add up all the sides 13 plus 13 is 26, 6 plus 6 is 12 , 26 plus 12 is 38

The perimeter is 78 because they only give you two number so whenever you do a perimeter in an equation you always have to remember to multiply. 13 multiplied by 6 is 78. Hope this helped ( :

ANSWERED AT 29/03/2020 - 06:34 PM


QUESTION POSTED AT 29/03/2020 - 06:34 PM

Given conversion factor 12in/1ft, what is the above line segments's unit of measure in feet?

The answer would be 7

ANSWERED AT 29/03/2020 - 06:34 PM


QUESTION POSTED AT 29/03/2020 - 06:34 PM

A circular plate has a radius of 13cm. What is the area of the plate? Use 3.14 for pi. Enter your answer as a decimal in the box.

530.66 is the answer your looking for

ANSWERED AT 29/03/2020 - 06:32 PM


QUESTION POSTED AT 29/03/2020 - 06:32 PM

Mary eats her dinner off a plate that has a radius of 4 inches. What is the exact area of the plate

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ANSWERED AT 29/03/2020 - 06:31 PM


QUESTION POSTED AT 29/03/2020 - 06:31 PM

If there is a crossword that has three squares that need to be filled, how many possible three letter arrangements are there (assuming they do not have to make a real word)? A.26! B.26!/3! C.23! D.26!/23

26 possible letters
assuming you can repeat them
26*26*26
no listed
ok, lets assume that you can't repeat them
that is 26 times 25 times 24 (because you used 1 each time)
that is 26!/23! (because 26*25*24*23!=26!)

answer is D (only if there is a factorial sign after the 23)

ANSWERED AT 29/03/2020 - 06:27 PM


QUESTION POSTED AT 29/03/2020 - 06:27 PM

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

16 times 5 = 80. 80 is your length

ANSWERED AT 29/03/2020 - 06:23 PM


QUESTION POSTED AT 29/03/2020 - 06:23 PM

For a circle with a radius of 6 feet, find the arc length of a central angle of 6 degrees. A. 36nft B. 3/5 pi ft C. 2/5 pi ft D. 1/5 pi ft

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ANSWERED AT 29/03/2020 - 06:20 PM


QUESTION POSTED AT 29/03/2020 - 06:20 PM

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solve

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factor
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ANSWERED AT 29/03/2020 - 06:19 PM


QUESTION POSTED AT 29/03/2020 - 06:19 PM

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ANSWERED AT 29/03/2020 - 06:14 PM


QUESTION POSTED AT 29/03/2020 - 06:14 PM

Mario claims that a Rhombus is sometimes a square, but a square is always a rhombus. Is he correct? Explain your answer

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ANSWERED AT 29/03/2020 - 04:32 PM


QUESTION POSTED AT 29/03/2020 - 04:32 PM

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ANSWERED AT 28/03/2020 - 12:58 PM


QUESTION POSTED AT 28/03/2020 - 12:58 PM

Who knows how to do area? plz help

The answer is D) 15 square units for the formula of a parallelogram is length times height, the way I solved it was I graphed to get a visual and understand , I see that the height is 3 and the length is 5 so 3•5 is 15
( feel free to ask follow up questions)

ANSWERED AT 28/03/2020 - 12:53 PM


QUESTION POSTED AT 28/03/2020 - 12:53 PM

Ιғ a cιrcle нaѕ a radιυѕ oғ 12 cм and a ѕecтor deғιned вy a 120 degree arc, wнaт ιѕ тнe area oғ тнe ѕecтor

120
times 12 - 360
it should give you the right answer if you solve the problem like that

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM