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

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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:

[tex]A=\frac{1}{2}(a+b)h[/tex]

Substituting values:

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

The trapezoid has an are of 366 feet²