Q. 60 - Algebra 2

Question

Find the area of the shaded region in the graph.

Find the area of the shaded region in the graph.

Step-by-Step Solution

Answer

Area of the shaded region is 10.5 square units.

Step 1. Determining the shape of the shaded region and area of shaded region

The shape of the shaded region is of trapezoidal shape

And, Area of trapezoid = $\frac{1}{2}\left\{h(b_1+b_2)\right\}$

Step 2. Determining the height and parallel sides of trapezoid

The height of trapezoid, $h=3$ and length of the parallel sides

$b_1=5$ And $b_2=2$

Step 3. Evaluation of area of shaded region

$\begin{array}{c}A=\frac{1}{2}\left\{h(b_1+b_2)\right\}\\ =\frac{1}{2}\left\{3(5+2)\right\}\\ =\frac{1}{2}\times 3\times 7\\ =\frac{21}{2}\\ =10.5\end{array}$