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

400 ft.2
400 ft. squared

200 ft.2
200 ft. squared

300 ft.2
300 ft. squared

240 ft.2
240 ft. squared
Skip to navigation

The area of a trapezoid is calculated using the formula: A = (1/2)h(b1 + b2), where h is the height of the trapezoid, b1 is the shorter base, and b2 is the longer base.

Plugging in the values given:
A = (1/2)(8)(20 + 30)
A = (1/2)(8)(50)
A = 4(50)
A = 200 ft^2

Therefore, the area of the trapezoid outlined in the image is 200 ft^2.

Correct response: 200 ft. squared