Find the area

Geometry Level pending

In the figure above, B C = C D , A B = E D , BC=CD,AB=ED, and A F = F E AF=FE . Find the area of the figure rounded to the nearest integer.


The answer is 275.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

By pythagorean theorem

A C = 1 5 2 + 9 2 = 306 AC=\sqrt{15^2+9^2}=\sqrt{306}

The area desired is 15 ( 9 ) + 8 ( 306 ) = 15(9) + 8(\sqrt{306})= 275 \color{#D61F06}\boxed{275}

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