Chapter 8.4, Problem 17WE

To determine

The length of diagonal of square.

Answer to Problem 17WE

The length of diagonal is $12\sqrt{2}$ .

Explanation of Solution

Given information:

The Square of perimeter is 48.

Let ABCD be a square

So length of each side is 12 then

  $\begin{array}{l}{h}^2=p^2+b^2\\ h^2={12}^2+{12}^2\\ h^2=144+144\\ h^2=288\\ h=12\sqrt{2}\end{array}$

Therefore the length of diagonal is $12\sqrt{2}$