Question

19 A trapezoid has an area of 216 square

inches. The length of its longer base is
two times the length of its shorter base.
If the height of the trapezoid is 8 inches,
what is the length of the shorter base?
A 18 in.
C 12 in.
B 36 in.
D
16 in.

Answer 1

A)18in.

Explanation:

Given,

A trapezoid Area= 216 sq

The length of its longer base=2x

The length of its shorter base= x

Height of Trapezoid = 8in

Area of Trapezoid= 1/2h(a+b)

216=1/2 x 8(2x+x)

216=4(2x+x)

216/4=3x

54=3x

54/3=x

18=x

Length of shorter base=18

Length of longer base=2x18=36

Hence, the length of the shorter base is 18in

Option A) is correct