Chapter 9.7, Problem 5PSA

To determine

To find: The diagonal of the square whose perimeter is 44.

Answer to Problem 5PSA

The diagonal of given square is $11\sqrt{2}$

Explanation of Solution

Given information :

The perimeter of square as 44

Formula used :

In square all sides are equal and all angles are 90 $°$

  ${\left(\text{Diagonal}\right)}^2=2\times {\left(\text{Side of the diagonal}\right)}^2$

Calculation :

Perimeter of square is 44 (given)

Therefore, side of a square = 11

  $\begin{array}{l}{\left(\text{Diagonal}\right)}^2\\ =2\times {\left(\text{Side of the diagonal}\right)}^2\\ =2\times {\left(\text{11}\right)}^2\end{array}$

Diagonal of square = $11\sqrt{2}$