Chapter 11.4, Problem 15PPS

To determine

To find: The area of each figure.

Answer to Problem 15PPS

The area of figure is $156{\text{cm}}^2$ .

Explanation of Solution

Given:

The given figure is:

  

Calculation:

To find the area of the figure, add the area of the rectangle and area of triangle.

The height of the isosceles triangle is calculated by using the diagram is as:

  $\begin{array}{c}h=\left(16-10\right)\text{cm}\\ =6\text{cm}\end{array}$

The area of shaded region is calculated as:

  $\begin{array}{c}\text{Area of figure}=\text{Area of rectangle+Area of triangle}\\ =\text{length×breadth}+\frac{1}{2}\text{×base×height}\\ =10\text{×}12+\frac{1}{2}\text{×}12\text{×}6\\ =156\end{array}$ .

Therefore the area of figure is $156{\text{cm}}^2$ .