A trapezoid has an area of 126.9 square centimeters. One base is 10 centimeters long. The height measures 18 centimeters. What is the length of the other base?

Answer 1

Use the formula for the area of a Trapezoid; A = (a + b)(h)/2, where a and b are the lengths of the bases and h is the height. Plug in what is given in the question. Since it gives us the area (A), the length of a base (a), and the height (h), we can plug those values in and solve for the other length (b).

126.9 = (10 + b)(18)/2, if we solve this equation for b, we get

126.9 = (10 + b)(9)

126.9 = 90 + 9b

36.9 = 9b

b = 4.1