Chapter 5.4, Problem 19PSB

To determine

To find: The area of given trapezoidal.

Answer to Problem 19PSB

  $112\text{ sq unit}$ .

Explanation of Solution

Given information:

A trapezoidal is given as below.

  

Calculation:

A trapezoidal is given as below.

  

  $\begin{array}{l}\text{Area of trapezoid}=\text{Area of left triangle}+\text{Area of middle rectangle}+\text{Area of right triangle}\\ \Rightarrow \text{Area of trapezoid}=\left(\frac{1}{2}\times 6\times 8\right)+\left(8\times 9\right)+\left(\frac{1}{2}\times 4\times 8\right)\\ \Rightarrow \text{Area of trapezoid}=\left(24+72+16\right)\text{ sq unit}\\ \Rightarrow \text{Area of trapezoid}=112\text{ sq unit}\end{array}$

Hence, area of given trapezoid is $112\text{ sq unit}$ .