Chapter 4.5, Problem 64STP

To determine

To find: the area of the shaded region using figure below with dimension.

Answer to Problem 64STP

The option $\text{H}$ is option is correct.

Explanation of Solution

Given:

  

Concept used:

Area of rectangle = $\text{length×breath}$ .

Area of shaded region=total area- unshaded area.

Calculation:

In order to find the area of the shaded region, subtract the area of the whole rectangle with area of unshaded region.

Area of shaded region: Area of larger rectangle -area of shaded region.

Area of rectangle = $\text{length×breath}$ .

Area of larger rectangle = ${\text{10×6=60m}}^{\text{2}}$ .

Area of unshaded rectangle = ${\text{6×3=18m}}^{\text{2}}$ .

Area of shaded region= Area of larger rectangle -area of shaded region.

Area of shaded region= ${\text{60-18=42m}}^2$ .

Hence, option $\text{H}$ is option is correct.