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*11\Rightarrow S=66\text{ in²}`

1 rectangle 10 x 11

`S=\text{ w}\cdot l\Rightarrow S=10*11\Rightarrow S=110`

1 rectangle 10 x 6

`S=\text{ 10}*6\Rightarrow S=60`

1 triangle base 6, h = 6

`S=(1)/(2)\cdot b\cdot h\Rightarrow S=(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`