The cross-section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 18 feet and 8 feet long. It has an area of 52 ft.² what is the height of the cross-section

Answer: the height is 4 feet

Step-by-step explanation:

The formula for determining the area of cross section of a trapezoid is expressed as

Area = 1/2 (a + b) h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 18 feet

b = 8 feet

If It has an area of 52 ft.², then

52 = 1/2 (18 + 8) h

Cross multiplying by 2, it becomes

52 * 2 = (18 + 8) h

104 = 26h

h = 104/26 = 4 feet