CPM Homework Help : CCG Problem 5-129

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

Hint (b):

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

More Help (b):

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.

Hint (b):

Area of Shape = Area of Trapezoid + Area of Rectangle

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

Step (b):

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

Answer (b):

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

Divide the figure into two parts. The top part is a trapezoid and the bottom part is a rectangle. The trapezoid has a top base of 5, a right side 4, and part of the bottom side is 5. The rectangle has a length of 5 and a width of 2.

The missing portion of the bottom base of the trapezoid is 3.