Chapter 12.1, Problem 38S

To determine

The area of the each figure:

Answer to Problem 38S

The area of the figure is $43.99c{m}^2$ .

Explanation of Solution

Given:

  $\begin{array}{l}a=6.7cm\\ b=9.9cm\\ h=5.3cm\end{array}$

Concept Used:

The area of the trapezoid is given by the following expression:

  $A=\frac{1}{2}\left(a+b\right)h$

Where,

Sides of trapezoid: $a,b$

Height of trapezoid: $h$

Calculation:

The area of the trapezoid is given by the following expression:

  $A=\frac{1}{2}\left(a+b\right)h$

Put the given data in eq.

  $\begin{array}{l}A=\frac{1}{2}\left(a+b\right)h\\ A=\frac{1}{2}\left(6.7+9.9\right)\times 5.3\\ A=\frac{1}{2}\left(16.6\times 5.3\right)\\ A=43.99c{m}^2\end{array}$

Conclusion:

Hence, the area of the figure is $43.99c{m}^2$