Question

Find the lengths of the bases of the trapezoid with a height of 10 ft. One base is 4ft longer than the other bases. The area is 120 square feet. Check the measurement of the TWO bases.

24
20
14
28
10
18

Answer 1

10 ft, 14 ft

Explanation:

Let b represent the length of the shorter base. Then the longer one is b+4 and the area is ...

A = (1/2)(b1 +b2)h

120 = (1/2)(b +(b+4))(10) . . . . use given values

12 = b+2 . . . . . . divide by 10, simplify

10 = b

14 = b+4

The measurements of the two bases are 10 ft and 14 ft.