The base of a statue is in the shape of a trapezoid. The bases of the statue are 7 1/2 feet and 4 3/4 feet. It's height is 6. What is the area of the base of the statue?

the area of the base of the statue is 36 3/4 ft² or 36.75ft²

Step-by-step explanation:

To calculate the area of the trapezoid we have to multiply the height by the average of the 2 bases

h = height

b1 = base1

b2 = base2

a = h * (b1 + b2) / 2

a = 6 * [ (7 1/2 + 4 3/4) / 2]

a = 6 * [ (7.5 + 4.75) / 2]

a = 6 * (12.25/2)

a = 6 * 6.125

a = 36.75ft² = 36 3/4 ft²

the area of the base of the statue is 36 3/4 ft² or 36.75ft²