9514 1404 393
Answer:
(d) 32 mm²
Explanation:
The relevant area formulas are ...
A = 1/2bh . . . . . area of triangle with base b and height h
A = bh . . . . . . . area of parallelogram with base b and height h
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The triangle has a base of 8 mm and a height of 3 mm, so an area of ...
A = 1/2(8 mm)*(3 mm) = 12 mm²
The parallelogram has a base of 5 mm and a height of 4 mm, so an area of ...
A = (5 mm)(4 mm) = 20 mm²
Then the area of the figure is ...
figure area = triangle area + parallelogram area = 12 mm² +20 mm²
figure area = 32 mm²