Question 1166973: In the diagram, ABC is a right triangle with each leg divided into 5 equal segments as shown. If the area of trapezoid ACKD is 36 cm*2, then the area, in cm*2, of trapezoid FIGH is:
A) 20
B) 8
C) 18
D) 14
E) 12
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Answer by greenestamps(13200)   (Show Source):
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If you draw horizontal lines through D, E, F, and G, and vertical lines through H, I, J, and K, triangle ABC will be divided into 25 smaller right triangles all congruent to triangle GBH.
Trapezoid ACKD, with area 36 cm^2, is comprised of 9 of those smaller triangles; trapezoid FIGH is comprised of 3 of them. Therefore, the area of trapezoid FIGH is 1/3 the area of ACKD.
ANSWER: 12 cm^2
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