Q60. - Algebra 2

Question

Find the area of the shaded region in the graph.

60. 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

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