Question

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

Answer 1

Answer:

$116.82\:\text{square inches}$

Step-by-step 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 $\frac{1}{2}\cdot b\cdot h$. 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 $\frac{1}{2}\cdot 2.9\cdot 2.9\cdot 4=16.82\:\mathrm{in^2}$.

Therefore, the area of the window is:

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