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Home > CCG > Chapter 7 > Lesson 7.1.3 > Problem 7-39

7-39.

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

 

 

 

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

Use the Pythagorean Theorem to solve for .

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

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.