A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the
height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be
From your information Let shorter base = h +3 and longer base = h + 7 where h is the height. Formula for area of a trapezoid is Substituting into the formula we get the following equation.
This is a quadratic equation which I will solve by factoring.
this is a useable answer (it's positive and length must be nonnegative) can't use this answer so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards