A trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. What is the length of the other base?

Solution:

We have area of the trapezoid = (1/2)(height)(sum of parallel sides)

= (1/2)(h)(a + b)

Here height h = 9 in,

Area = 166.5in.², b = 15

⇒ 166.5 = (1/2) (9) (15 + a)

⇒ 333 = 9(15 + a)

⇒ (333/9) = 15 + a

⇒ 37 = 15 + a

⇒ a = 22

A trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. What is the length of the other base?

Summary:

The trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in, then the length of the other base is 22 in.