Asquare has a perimeter of 36 inches. find the length of the diagonal in simplest radical form.

Step-by-step explanation:

step 1

Find out the length side of the square

we know that

The perimeter pf the square is equal to

where

b is the length side of the square

we have

so

Solve for b

step 2

Find out the length of the diagonal applying the Pythagoras Theorem

Let

D -----> the length of the diagonal of the square

b ----> the length side of the square

we have that

we have

substitute

Simplify