find the area of the shaded region (three squares combined)

Geometry Level pending

Three squares with side lengths 2 , 4 2,4 and 6 6 are joined as shown. Find the area of the shaded region.


The answer is 19.

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1 solution

A s h a d e d = 6 2 + 4 2 + 2 2 1 2 ( 6 ) ( 12 ) 1 2 ( 1 ) ( 2 ) = 56 36 1 = 19 A_{shaded}=6^2+4^2+2^2-\dfrac{1}{2}(6)(12)-\dfrac{1}{2}(1)(2)=56-36-1=\boxed{19}

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