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I don’t really get this question so if anyone knows it please help

I don’t really get this question so if anyone knows it please help-example-1
User JanT
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1 Answer

3 votes

Answer:


116.82\:\text{square inches}

Explanation:

The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is
10^2=100\:\mathrm{in^2}.

The area of a triangle is given by
(1)/(2)\cdot b\cdot h. Since the problem states that the overlapping squares are congruent, both legs of the triangle will be
2.9 and intersect at a
90^(\circ) angle.

Thus, the sum of all four triangles is
(1)/(2)\cdot 2.9\cdot 2.9\cdot 4=16.82\:\mathrm{in^2}.

Therefore, the area of the window is:


100+16.82=\boxed{116.82\:\mathrm{in^2}}

User Simon Black
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