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
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.
so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards