Answer:
[tex]\text{Area of shaded region is }128 in^2[/tex]
Step-by-step explanation:
Given the figure we have to find the area of shaded region.
As a square given of side 16 inches
[tex]\text{Area of square=}(side)^2=16^2=256 in^2[/tex]
[tex]\text{Area of unshaded triangles=}\frac{1}{2}\times base\times altitude+\frac{1}{2}\times base\times altitude[/tex]
[tex]=\frac{1}{2}\times 9\times 16 +\frac{1}{2}\times 7\times 16[/tex]
[tex]=72+56=128 in^2[/tex]
[tex]\text{Area of shaded region=area of square-area of unshaded triangles}\\=256-128=128 in^2[/tex]
[tex]\text{Hence, area of shaded region is }128 in^2[/tex]
