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

3.5 squared. 12.25 times more would be the answer.

Answer 2

Area of the rectangle(A) is given by:

`A =lw`

where, l is the length and w is the width of the rectangle.

As per the statement:

A rectangle has an area of 72 in²

⇒A = 72 in²

then;

`lw = 72`

It is given that:

The length and the width of the rectangle are changed by a scale factor of 3.5.

Length of new rectangle become = 3.5l

Width of new rectangle become = 3.5 w

then;

Area of new rectangle = (Length of new rectangle)(Width of new rectangle)

⇒Area of new rectangle = (3.5l)(3.5w) =12.25(lw)

Substitute the given values we have;

`\text{Area of new rectangle} = 12.25 \cdot 72 = 882 in^2`

Therefore, the area of the new rectangle is, 882 in²