The longer base of a right trapezoid is 15 ft. The longer base of a similar right trapezoid is 35 ft. The area of the smaller right trapezoid is 27 ft2 . What is the area of the larger right trapezoid? (Your answer will be numerical only).
Question
The longer base of a right trapezoid is 15 ft. The longer base of a similar right trapezoid is 35 ft. The area of the smaller right trapezoid is 27 ft2 . What is the area of the larger right trapezoid? (Your answer will be numerical only).
Solution
The area of similar figures is proportional to the square of the ratio of their corresponding sides.
Given that the longer base of the smaller trapezoid is 15 ft and the longer base of the larger trapezoid is 35 ft, the ratio of their corresponding sides is 15/35 = 0.42857.
The square of this ratio is (0.42857)^2 = 0.18367.
Since the area of the smaller trapezoid is 27 ft^2, the area of the larger trapezoid is 27 / 0.18367 = 147 ft^2.
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