SOLUTION: A rectangle’s short side is two feet less than the long side. Its area is 24. What are the dimensions of the rectangle?

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Question 1049075: A rectangle’s short side is two feet less than the long side. Its area is 24. What are the dimensions of the rectangle?
Answer by hussamuddin(51) About Me  (Show Source):
You can put this solution on YOUR website!
area=length%2Abreadth
24=x%28x-2%29
x%5E2-2x-24=0
then solve this quadratic equation using a calculator or by using this formula:-
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-24%29+%29%29%2F%282%2A1%29+
x=+6+or+-4
so we will only consider 6 as -4 is a negative digit and length and breadth cannot be negative.
length = x = 6 and breadth = x-2 = 4