Discussion
A trapezoid has two parallel sides of 1 m and 2 m. The height of this trapezoid is 1 m. Determine the area of the trapezoid.
Answer: C
The area is 1.5 m2.
The area of a trapezium is half the sum of the parallel sides multiplied by the distance between them:
\[ \begin{aligned} A &= \frac{1}{2}(a + b)h \\ &= \frac{1}{2}(1 + 2)(1) = 1.5\ \text{m}^{2} \end{aligned} \]
3 m2 comes from forgetting the half, and 2 m2 from using only the longer side. 1.2 m2 matches no slip in the formula. A check: the answer must lie between the areas of the 1 m and 2 m rectangles, 1 and 2 m2.
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