Question

The perimeter of a square is 36 inches. Find the length of the diagonal. Round answer to nearest tenth

Answer 1

12.7 inches

Explanation:

We know that the length of a diagonal is :

`d=a√(2)`

Here d = Diagonal of a square

a = Side of a square

Given:

The perimeter of a Square is 36 inches.

Since the formula for the perimeter of a square is 4a

Thus, 4a = 36

⇒ a = 36÷4 = 9 inches

Now,

d = 9×√2 = 12.7 inches

Hence the length of a square is 12.7 inches.