CPM Homework Help : INT2 Problem 6-91

Calculate the area and perimeter of the trapezoid below.

Trapezoid, horizontal top & bottom sides, top side shorter, labeled as follows: Top, 11 yd, left side, 8 yd, bottom left angle, 65 degrees, bottom right angle, 72 degrees.

Hint:

Look at the diagram below. Solve for $x$ , $y$ , and $z$ .

Added to trapezoid, dashed line segments, labeled, from the left & right top vertices, perpendicular to the bottom side, left one labeled, x. Bottom side, 3 sections, from left to right, labeled, y, 11 yd, & z.

Answer:

$\text{area}\approx100.6 \; \text{yd}^2$
$\text{perimeter}\approx43.4 \; \text{yd}$