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Home > CCG > Chapter 6 > Lesson 6.2.3 > Problem 6-76

6-76.

Find the area and perimeter of the trapezoid at right.  

The left side of a trapezoid is, 8 yds, with a top base of, 11 yds. The bottom left angle is, 65 degrees and the bottom right angle is, 72 degrees.

Separate the trapezoid into separate figures: a right triangle at left, a rectangle in the middle, and a right triangle at right.

Vertical segments drawn from top vertices, perpendicular to the bottom base, creating shaded right triangles on right & left of trapezoid.

Label the height of each triangle, . For the left triangle, label the second leg, . Solve for  and .

Labels added to each vertical segment, h, and base of left shaded triangle, a.

 and 

Follow a similar process for the second triangle.

Labels added to right shaded triangle, e on the hypotenuse, d on the base.

Area  yds
Perimeter  yds