SOLUTION: The area of a trapezoid is 77 square inches, the height measures 4 inches and the legs are 5 inches long. Find the length of the bases.

Question 954845: The area of a trapezoid is 77 square inches, the height measures 4 inches and the legs are 5 inches long. Find the length of the bases.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
With height 4in and legs 5in, a 3-4-5 triangle is formed,
with the third side (3 in) being how much longer one base is
than the other on each end. So one base is 6 inches longer.
a=shorter base; b=longer base=a+6in; h=height=4in; A=Area=77 sq in
Substitute for b

Subtract from each side
Divide each side by 4in
ANSWER 1: The shorter base is 16.25 inches.
ANSWER 2: The longer base is 22.25 inches.
CHECK:

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