### Home > CCG > Chapter 5 > Lesson 5.3.5 > Problem5-129

5-129.

Find the area and perimeter of each shape below. Show all work. Homework Help ✎

Divide the figure into two separate shapes.
Afterwards, find the area for each shape and then add them together.

The piece shared between the trapezoid and the rectangle has a length of $5-2=3$ units because the purple rectangle has a side length of $5$ units. This makes the base of the trapezoid $8$ units.

Area of Shape = Area of Trapezoid + Area of Rectangle

$\frac{1}{2}\left(\textit{b}_1+\textit{b}_2\right)+\textit{bh}$

$\frac{1}{2}([5+3]+5)4+2\cdot 5$

$\text{Total Area}=36\text{ units}^2$