Are you smarter than an old book?

Geometry Level 3

In the figure above there are 4 rectangles, 4 right triangles, and a square hole.

a) Determine the sum of the 8 areas (do not include the area of the hole).

b) Let x be the length of DE, and y the height from point A to DE. Calculate xy2\frac { xy }{ 2 }.

Can you explain why parts (a) and (b) have the same result?


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