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Dennis_Churaev [7]
2 years ago
7

2. The area of a square is 72 sq in. What is its side length?

Mathematics
1 answer:
defon2 years ago
5 0

Answer:

6 \sqrt{2}

if you don't have to simplify it, it is

\sqrt{72}

Step-by-step explanation:

the equation for the area of a square is

a =  {s}^{2}

substitute 72 for a

72 =  {s}^{2}

take the square root of both sides to cancel out the square on the s

\sqrt{72}  =  \sqrt{ {s}^{2} }

\sqrt{72}  = s

if you need it simplified, find the perfect square that makes up 72. It is 36.

\sqrt{36 \times 2}  = s

take the square root of 36

6 \sqrt{2}  = s

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Answer:

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Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

Perimeter of square = 4(x+3)

We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

5x = 5

Now we divide both sides by 5 to get:

5x/5 = 5/5

x = 1

Now we can use this value to figure out the perimeter of the triangle:

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Hope this helped!

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