CPM Homework Help : INT2 Problem 4-52

Calculate the area and the perimeter of the figure below. Be sure to organize your work so you can explain your method later.

An enclosed figure of a rectangle with a right triangle connected at the top left corner. The top angle of the triangle is 20 degrees. The length of the rectangle is 16.0 m. The width of the rectangle on the right side is 18.0 m. The width of the rectangle on the left side with the addition of the triangle is 24.0 m.

Hint:

Can you break the figure into familiar shapes?

Step 1:

Subtract $18.0$ m from $24.0$ m to calculate the height of the triangle.

Step 2:

Use trigonometry to calculate the length of the second leg of the triangle.

Partial answer:

$\text{area}\approx294.6$ sq m