Question

Find the area of the shaded region. Round to the nearest tenth.

Answer 1

3.5 square cm

Explanation:

`Area \: of \: both \: squares \\ = {2}^(2) + {3}^(2) \\ = 4 + 9 \\ = 13 \: {cm}^(2) \\ \\ Area \: of \: both \: right \: \triangle s \\ = (1)/(2) * (2 + 3) * 2 + (1)/(2) *3 * 3 \\ = 5 * 1+ 1.5 * 3 \\ = 5 + 4.5 \\ = 9.5 \: {cm}^(2) \\ \\ Area \: of \:shaded \: region \\ = Area \: of \: both \: squares\\ - Area \: of \: both \: right \: \triangle s \\ = 13 - 9.5 \\ \purple { \boxed{ \bold{Area \: of \:shaded \: region = 3.5 \: {cm}^(2) }}}`