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FinnZ [79.3K]
3 years ago
12

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

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

3.5 square cm

Step-by-step explanation:

Area \: of \: both \: squares  \\ =  {2}^{2}  +  {3}^{2}  \\  = 4 + 9 \\  = 13 \:  {cm}^{2}  \\  \\ Area \: of \: both \: right \:  \triangle s \\  =  \frac{1}{2}  \times (2 + 3) \times 2 + \frac{1}{2}  \times3 \times 3 \\  = 5 \times 1+ 1.5 \times 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} }}}

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