In the figure, ABCD, EFGH and PQRS are three identical squares. P and R are the centers of ABCD and EFGH respectively. If SQ=10√2, what is the area of the region covered by these squares?
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As per given information, we can conclude that SQ is diagonal length of square, so length of square is (102÷2–√) 72.12 units.
Therefore areas of all three identical squares is
A=3×104042=15606 units2
As P and R are centres of ABCD and EFGH half area of one square is merged into entire region, so area of entire region is
A=15606−104044=13005 units2
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