So we need to solve for a. Let's plug in the values that we do know...
A= (a+b)/2*h 150=(a+14)/2*10 150=(a/2+14/2)*10 150=(a/2+7)*10 Divide both sides by 10 15=a/2+7 subtract 7 from both sides 8=a/2 multiply both sides by 2 16=a
A<span> is the area of a trapezoid a and b are the lengths of its two bases h is the height Let x be the shorter base. Then the longer base is x+2 Substituting the following into the formula a = x
b = x+2 A = 150 h = 10 we have
Solving for x, we have So the shorter one is 14 meters long, the longer one is 16 meters long I hope i helped you :-0