Question

A trapezoid has an area of 975 square meters. The height of the trapezoid is 50 ​meters, and the length of the longer base is twice that of the shorter base. Find the length of each base of the trapezoid.

Answer 1

Area of trapezoid(A) =(1/2) (b1 + b2)*h

b1= x   - shorter base
b2=2x  - longer base
A=975 m²
h=50 m

975 =(1/2) (x + 2x)*50
975 = 25*3x
975 = 75x
x=975/75 = 13 m

x= b1 = 13 m
b2=13*2=26 m

b1=13 m,
b2 = 26 m,