A section of a deck is shaped like a trapezoid. For this section, the length of one base is 53 feet, and the length of the other base is 46 feet. The height is 16 feet. What is the area of this section of the deck?

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Answer:

792 ft²

Step-by-step explanation:

The formula for area of a trapezoid is A = [tex]\frac{a+b}{2}[/tex] * h, where a = length of base (a) and b = length of base (b) and h = height of trapezoid.

If we plug the shown values, the formula becomes

[tex]\frac{53 + 46}{2}[/tex] * 16

This simplifies to 49.5 * 16, which equals 792. The answer with units is 792 ft².

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