Another section of the deck is also shaped like a trapezoid. For this section, the length of one base is 27 feet, and the length

Question

4 years ago

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of the other base is 34 feet. The height is 12 feet. What is the area of this section of

1 answer:

Leya [2.2K] · Answer 1 · 2022-01-11T14:30:59+03:00

Answer:

The trapezoid has an are of 366 feet²

Step-by-step explanation:

A trapezoid is a quadrilateral with two parallel opposite sides known as the bases separated by a height. Given that the trapezoid:

Has two bases with one base of length (a) = 27 feet and another base of length (b) = 34 feet. The trapezoid also have a height (h) = 12 feet.

The area of the trapezoid (A) is given as:

$A=\frac{1}{2}(a+b)h$

Substituting values:

$A=\frac{1}{2}(a+b)h==\frac{1}{2}(27+34)12=366feet^{2}$

The trapezoid has an are of 366 feet²