Q37. - Geometry

Question

Draw a rectangle. Then construct a square a square with equal area.

Step-by-Step Solution

Answer

Step 1. Given information.

Rectangle and square.

Step 2. Concept Used.

The area of the rectangle is $A=length\times breadth$

The area of the square is$A={\left(side\right)}^2$

Step 3. Let’s draw a rectangle then construct a square having equal area.

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

Then

Area of rectangle 

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

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 $s=4cm$