SOLUTION
5 A stage for a concert is shaped like the polygon shown. What is the
area of the stage? Show your work.
OLUTION
2m
9 m
5 m
3 m
2 m
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Respuesta :

The area that the band have than the backup singers based on the information about the trapezoid will be 1089 ft².

How to calculate the value?

It should be noted that the two triangular areas can be combined for a total area that is 4 ft wide by 9.5 ft deep.

Here, the rectangular area is 125 ft wide and 9.5 ft deep. The 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

Therefore, the area that the band have than the backup singers based on the information about the trapezoid will be 1089 ft².

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Complete 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?