Chapter 11.1, Problem 37WE

To determine

To Draw: The rectangle then construct a square having equal area.

Answer to Problem 37WE

  

Explanation of Solution

Given: Rectangle and square.

Let the dimensions of the rectangle be $8cm\times 2cm$

  

Then

Area of rectangle

  $\begin{array}{l}A=lb\\ A=8(2)\\ A=16c{m}^2\end{array}$

Now

We have to find the side of square.

Since the area of rectangle is equal to area of square.

We have

  $\begin{array}{l}{A}_s=s^2\\ 16=s^2\\ s=4cm\end{array}$

i.e.

We have to draw the square of side $s=4cm$