Question

Find the area if the figure below in square inches

Answer 1

1) Let's decompose that polygon so that we can find out the area:

2) Now we can find out the area of:

1 rectangle 6 x 11

$S=w\cdot l\Rightarrow S=6\times11\Rightarrow S=66\text{ in²}$

1 rectangle 10 x 11

$S=\text{ w}\cdot l\Rightarrow S=10\times11\Rightarrow S=110$

1 rectangle 10 x 6

$S=\text{ 10}\times6\Rightarrow S=60$

1 triangle base 6, h = 6

$S=\frac{1}{2}\cdot b\cdot h\Rightarrow S=\frac{1}{2}\cdot6\cdot6\Rightarrow S=18$

Note that the formula of the triangle's area is half the product of the width by the length.

3) Adding it all up we have:

$S=66+110+60+18\Rightarrow S=254in^2$