Question

1. A trapezoid has an area of 91 m2. The height of the trapezoid is 7 m and the measure of one base is twice the height. What is the measure of the other base of the trapezoid? To receive full credit, you must show your work.

Answer 1

The area of the trapezoid is given by:
A = (1/2) * (b1 + b2) * (h)
Where,
b1, b2: bases of the trapezoid
h: height
Substituting values we have:
91 = (1/2) * ((2 * 7) + b2) * (7)
Rewriting we have:
91 = (1/2) * (14 + b2) * (7)
(2/7) * 91 = 14 + b2
b2 = (2/7) * 91 - 14
b2 = 12 m
Answer:
The measure of the other base of the trapezoid is:
b2 = 12 m