Use the image to answer the question.
An illustration shows the outline of a bridge in the shape of a trapezoid. The shorter top base measures 20 feet. The longer bottom base measures 30 feet. The perpendicular height measures 8 feet.
A bridge connects two mountaintops. Find the area outlined in the image.
(1 point)
Responses
300 ft.2
300 ft. squared
200 ft.2
200 ft. squared
240 ft.2
240 ft. squared
400 ft.2
400 ft. squared
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The area of a trapezoid can be calculated using the formula: A = (a + b) * h / 2, where a and b are the lengths of the top and bottom bases, and h is the perpendicular height.
In this case, the top base (a) is 20 feet, the bottom base (b) is 30 feet, and the height (h) is 8 feet.
Therefore, the area of the trapezoid is: A = (20 + 30) * 8 / 2 = 50 * 8 / 2 = 400 ft²
The correct answer is 400 ft.².