Problema Solution
A trapezoid with a height of 6 meters has an area of 36 square meters. One of the bases is twice as long as the other base. How long are the bases of the trapezoid?
Answer provided by our tutors
h = 6 m
A = 36 m^2
b2 = 2b1
A = (h/2)(b1 + b2)
Plug the values and b2 = 2b1 into the last equation:
(6/2)(b1 + 2b1) = 36
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click here to see the equation solved for b1
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b1 = 4 m
b2 = 2*4
b2 = 8 m
The bases of the trapezoid are 4 meters and 8 meters.