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

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

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=}(1)/(2)* base* altitude+(1)/(2)* base* altitude`

`=(1)/(2)* 9* 16 +(1)/(2)* 7* 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`