What is the area of the trapezoid?
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A trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is

Area = (base 1 + base 2) h

The bases of the trapezoid are the parallel sides. In the trapezoid shown, the bases are 10 cm and 22 cm and the height of the trapezoid is 8 cm. Now, we can plug these numbers into our formula.

(10 cm + 22 cm) (8 cm)

Next, the order of operations tells us that we must simplify inside the parentheses first. 10 cm + 22 cm = 32 cm.

Now, we have (32 cm) (8 cm).

× 32 cm = 16 cm.

(16 cm) × (8 cm) = 128 cm.²

Therefore, the area of the trapezoid shown is 128 cm.²

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