Answer:
35 cm^2
Step-by-step explanation:
The figure consists of a trapezoid atop a triangle. The total area is the sum of the areas of each of those parts of the figure.
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
Here, the base lengths are 8 cm (bottom) and 4 cm (top) and the height is shown as 2 cm. Thus the trapezoid area is ...
A = (1/2)((8 +4) cm)·(2 cm) = 12 cm^2
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The area of the triangle is given by the formula ...
A = (1/2)bh
Here, the base length is 8 cm (top) and the height is 5.75 cm. Thus the triangle area is ...
A = (1/2)(8 cm)(5.75 cm) = 23 cm^2
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The total area of the figure is the sum of these values:
12 cm^2 + 23 cm^2 = 35 cm^2 . . . . area of the shape
