Question

Marcus is building a stage that is shaped like a trapezoid. The bases must be

exactly 4 and 5.6, and the area is 48 square yards. What is the height of the
stage?

Answer 1

To find the height of the trapezoid-shaped stage, we can use the formula for the area of a trapezoid:

Area = (1/2) × (base1 + base2) × height

Given that the bases are 4 and 5.6, and the area is 48 square yards, we can substitute these values into the formula:

48 = (1/2) × (4 + 5.6) × height

Now, let's solve for the height:

48 = (1/2) × (9.6) × height

48 = 4.8 × height

Dividing both sides of the equation by 4.8:

height = 48 / 4.8

height = 10

Therefore, the height of the stage is 10 yards.