Question

the stage in a theater is in the shape of a trapezoid. The length of the front of the stage is 80 feet. The length of the back stage is 50 feet. The distance from the front and back of the stage is 40 feet. What is the area of the stage

Answer 1

To find the area of the stage, we need to use the formula for the area of a trapezoid, which is:

Area = (a + b) * h / 2

where a and b are the lengths of the parallel sides, and h is the height (or distance between the parallel sides).

In this case, we know that:

a = 80 feet

b = 50 feet

h = 40 feet

Plugging these values into the formula, we get:

Area = (80 + 50) * 40 / 2

Area = 130 * 20

Area = 2600 square feet

Therefore, the area of the stage is 2600 square feet.