CPM Homework Help : CC2 Problem 1-129

Find the area and perimeter of each figure below.

a. A right slanting parallelogram, with vertices, starting in the upper left corner and going clockwise, labeled, A, B, C, d. Side, B C, labeled, 41 inches. Side, D C, labeled, 57 inches. A dashed line, perpendicular side, A B, labeled 36 inches.
$ABCD$ is a parallelogram.

Hint (a):

The formula to find the area of a parallelogram is (base)(height).

More Help (a):

In a parallelogram, opposite sides will have equal length.

Step 1 (a):

$\text{Perimeter}=57\ \text{in.}+41\ \text{in.}+57\ \text{in.}+41\ \text{in.}$
$\text{Perimeter}=196$ in.

Step 2 (a):

$\text{Area}=(36\text{ in.})(57\text{ in.})=2052$ in.²

b. Right triangle labeled as follows: Vertical leg, 73 cm, horizontal leg, 56 cm, hypotenuse, 92 cm.

Hint (b):

The formula to find the area of a triangle is $\frac{1}{2}\cdot(\text{base})\cdot(\text{height})$

More Help (b):

Since this is a right triangle, you can use one of the legs for the height and the other for the base.
Find the perimeter by finding the sum of the given side lengths.