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valentinak56 [21]
3 years ago
7

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the square

Mathematics
2 answers:
zysi [14]3 years ago
6 0

Answer:

The perimeter of the square is 31.96\ m

Step-by-step explanation:

we know that

The perimeter of a square is equal to

P=4b

where

b is the length side of the square

Step 1

Find the length side of the square

The diagonal of the square is equal to

Applying the Pythagoras Theorem

d^{2} =b^{2}+b^{2}\\d^{2}=2b^{2}\\d=b \sqrt{2}

In this problem we have

d=11.3\ m

d=b\sqrt{2} ------> solve for b

b=d/\sqrt{2}

substitute the value of d

b=11.3/\sqrt{2}\ m

Step 2

Find the perimeter of the square

P=4b

Substitute the value of b

P=4(11.3/\sqrt{2})=31.96\ m

Natalija [7]3 years ago
5 0
The length of each side can be found using pythagoras theorem:-

11.3^2 = 2x^2     where x = length od each side
x = sqrt( [11.3^2  / 2)
x =  7.99 meters
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