CPM Homework Help : INT1 Problem 10-38

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

Hint 1(b):

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

Hint 2(b):

The piece shared between the trapezoid and the rectangle is $5 - 2 = 3$ because the red rectangle has side $5$ . This makes the base of the trapezoid $8$ .

More Help (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):

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.