Problema Solution

Find the length of the bases of the trapezoid described.

One base is 8 centimeters longer than the other base. The height is 6 centimeters and the area is 54 square centimeters.

Answer provided by our tutors

Let b1=x

so b2=x+8, h=6

a=((b1+b2)*h)/2

substituting the values

54=((x+8+x)*6)/2

108=(2x+8)*6

12x=108-48

12x=60

x=5

therefore lengths are b2=5+8=13cm  and b1=5cm