Find the area of the geometric figure.
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A)0.12 sq units
B)1.2 sq units
C)0.06 sq units
D)0.075 sq units

Question

Find the area of the geometric figure.
-
A)0.12 sq units 
B)1.2 sq units 
C)0.06 sq units 
D)0.075 sq units

Quizplus · Accepted Answer

The figure is a trapezoid with height 0.2 units and bases 0.3 units and 0.1 units. Using the formula for the area of a trapezoid, (average of the bases) x (height), we get (0.3 + 0.1)/2 x 0.2 = 0.04 sq units. However, the question asks for the area of half of the trapezoid, so we divide by 2 to get 0.02 sq units. Finally, the figure is reflected across the x-axis to create a congruent figure, so we double the previous value to get a final answer of 0.06 sq units. Therefore, the correct choice is C.

Find the Area of the Geometric Figure