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

Find the area of the shaded region. Round to the nearest tenth.-example-1
User IceCold
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1 Answer

1 vote

Answer:

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) }}}

User TARehman
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