Answer:
length = 24
width = 10
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Work Shown:
x = width
x+14 = length, since it is 14 more than the width
area = length*width = (x+14)*x = x^2+14x
area = 240
x^2+14x = 240
x^2+14x-240 = 0
Use the quadratic formula from this point. See the attached image for the steps on how to do that. You should end up with two possible solutions
x = 10 or x = -24
Ignore the negative x value. A negative width makes no sense.
The only possible solution is x = 10, so x+14 = 10+14 = 24
width = 10
length = 24
area = length*width = 10*24 = 240
answer's are confirmed
