Question

What is the area of the shaded triangle inside the square . Round to the nearest square inch .

Answer 1

16*16=256
256/2=128
=128

Answer 2

Answer:

$\text{Area of shaded region is }128 in^2$

Step-by-step explanation:

Given the figure we have to find the area of shaded region.

As a square given of side 16 inches

$\text{Area of square=}(side)^2=16^2=256 in^2$

$\text{Area of unshaded triangles=}\frac{1}{2}\times base\times altitude+\frac{1}{2}\times base\times altitude$

$=\frac{1}{2}\times 9\times 16 +\frac{1}{2}\times 7\times 16$

$=72+56=128 in^2$

$\text{Area of shaded region=area of square-area of unshaded triangles}\\=256-128=128 in^2$

$\text{Hence, area of shaded region is }128 in^2$