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Answer:
[tex] {27.5}^{2} [/tex]
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} bh [/tex]
to make the method easy we can divide the fingure into 2 parts
first part
[tex] \frac{1}{2} \times b \times h \\ \\ \frac{1}{2} \times 8 \times 5[/tex]
(because 3+2=5)
[tex] \frac{1}{2} \times 8 \times 5 = {20}^{2} [/tex]
second part
[tex] \frac{1}{2} \times 5 \times 3 = {7.5}^{2} [/tex]
add the 2 areas
[tex] {20}^{2} + {7.5}^{2} = {27.5}^{2} [/tex]