Question

A concert stage is shaped like an isosceles trapezoid. The triangular sections on the sides are for the backup singers. The band takes up the rectangle in the middle. The rear of the stage is 125 feet wide, and the front is wider. The distance from front to rear is 9.5 feet. The base of each tnangular section is 4 feet. How much more area does the band have than the backup singers?

Answer 1

1089 ft²

Explanation:

The two triangular areas can be combined for a total area that is 4 ft wide by 9.5 ft deep.

The rectangular area is 125 ft wide and 9.5 ft deep.

Area is the product of length and width, so we can compute the difference in areas as ...

(125 ft -4 ft)(9.5 ft) = (121 ft)(9.5 ft) = 1089 ft²

The band has 1089 ft² more area than the backup singers.