Find the area if the figure below in square inches

Question

asked Apr 1, 2023 109k views

1 Answer

Abhitalks · Answer 1 · 2023-04-06T15:26:25+0000

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:

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