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Answer:
A. 58 square cm
Step-by-step explanation:
From the composite figure,
A1 = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 2 x 3
= 3 [tex]cm^{2}[/tex]
A2 = length x width
= 8 x 2
= 16 [tex]cm^{2}[/tex]
A3 = [tex]\frac{1}{2}[/tex] (a + b) h + [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] (10 + 12) 3 + [tex]\frac{1}{2}[/tex] x 2 x 3
= [tex]\frac{1}{2}[/tex] (22) 3 + 3
= 11 x 3 + 3
A3 = 33 + 3
= 36 [tex]cm^{2}[/tex]
Total area = A1 + A2 + A3
= 3 + 16 + 36
= 58 [tex]cm^{2}[/tex]