PLEASE HELP - The area of a trapezoid is 70.55 square feet. The length of the bases are 11.4 feet and 5.6 feet. What is the height of the trapezoid?
Mathematics · High School · Wed Jan 13 2021
Answered on
Given:
Area = 70.55 ft^2
Base a = 11.4 ft
Base b = 5.6 ft
Determine the height of the trapezoid.
Formula for the area of the trapezoid:
A = ((a + b)/2)h
Solution:
Substitute the given values of A, a and b to the formula for the area of the trapezoid.
A = ((a + b)/2)h
70.55 ft^2 = ((11.4ft + 5.6ft)/2)h
70.55 ft^2 = ((17 ft)/2)h
70.55 ft^2 = ((8.5ft)h
Divide both sides of the equation by 8.5 ft in order to determine the value of h.
70.55 ft^2/8.5ft = ((8.5ft)h/8.5ft
h = 8.3ft
Final answer:
h = 8.3ft