Question

A trapezoid has an area of 80 square centimeters. If the trapezoid has a base measuring 8 centimeters and a height of 8 centimeters, what is the length of the other base?

Answer 1

Let
x-------> the length of the base one
y------> the length of the base two

we know that
area of an trapezoid=[x+y]*h/2----> 2*A/h=x+y----> y=[2*A/h]-x
area=80 cm²
x=8 cm
h=8 cm
y=?
y=[2*A/h]-x----> y=[2*80/8]-8-----> y=12 cm

the answer is
the length of the other base is 12 cm