Question

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the area of the new rectangle? Enter your answer in the box.

Answer 1

The area of the new rectangle is 882 in².

Explanation:

Let l be the length and w be the width of the original rectangle,

So, the area of the original rectangle is,

A = l × w ( Area of a rectangle = Length × Width )

Given, A = 72 in²,

⇒ lw = 72 ------- (1),

Since, if the rectangle are changed by a scale factor of 3.5,

⇒ New length = 3.5 l,

And, new width = 3.5 w,

Thus, the area of the new rectangle = 3.5l × 3.5w

`=(3.5)^2lw`

`=12.25* 72` ( From equation (1) ),

= 882 in²