CPM Homework Help : GC Problem 7-34

Find the perimeter of the shape at right. Show all work.

A right triangle connected by its hypotenuse to the left side of a right angle trapezoid. The bottom base of the right triangle is 5 meters.The top base of the trapezoid is 4 meters, the bottom base is 10 meters, and the right side is 10 meters.

Step 1:

Split the shape into three different parts and label the unknown lengths you will need to find in order to ultimately find the perimeter.

Step 2:

Use the Pythagorean Theorem to solve for $h$ .

Step 3:

After solving for $h$ , you can use the Pythagorean Theorem again to solve for $x$ .

Divide the figure into parts. The trapezoid can be divided into a rectangle and a right triangle on the right side. Label the rectangle's length as, h, and the width as 4 meters. The right triangle on the right has a bottom base of 6 meters. The height of the right triangle on the left has a height of x.