Chapter 6.6, Problem 20HP

To determine

To find: The area of the new rectangle.

Answer to Problem 20HP

The required area is $12{\text{in}}^{\text{2}}$ .

Explanation of Solution

Given information:

Rectangle $ABCD$ is reduced by a scale factor $\frac{1}{2}$ .

  

Calculation:

Area of the rectangle is $48{\text{in}}^{\text{2}}$ .

Scale factor is $\frac{1}{2}$ .

Here scale factor is $\frac{1}{2}$ .

Area of new rectangle is $\frac{1}{4}$ of original rectangle.

Area of new rectangle is

  $\frac{1}{4}\left(48\right)=12{\text{in}}^{\text{2}}$ .

Hence, the required area is $12{\text{in}}^{\text{2}}$ .