# How to find the area of this shape?

## I keep getting 163.5, but that isn't the correct answer r.

Feb 8, 2018

$583 \text{ square cm}$

#### Explanation:

$\text{assuming the area of green region is required}$

$\text{using the "color(blue)"subtraction method}$

• " area of complete rectangle "-" area of white region"

$\text{area of complete rectangle "=35xx23=805" square cm}$

$\text{area of white region }$

$= \text{area of square "+" area of triangle}$

$\text{area of square } = 12 \times \left(23 - 11\right) = 12 \times 12 = 144$

$\text{area of triangle } = \frac{1}{2} \times \left(35 - 12 - 10\right) \times 12$

$\textcolor{w h i t e}{\times \times \times \times \times x} = \frac{1}{2} \times 13 \times 12 = 78$

$\text{area of green "=805-(144+78)=583" square cm}$