A counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counter top is 1,224 square inches. Find the height of the counter top

For the trapezoid, the equation used to solve for the area is,

A = (0.5) (b₁ + b₂) (h)

where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,

1224 = (0.5) (70.5 + 65.5) (h)

h = 18

Thus, the height of the counter top is 18 inches.