SOLUTION: the length of a rectangle is 2cm more than its width. Area is 24cm^2. What are the dimensions of this?

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Question 903333: the length of a rectangle is 2cm more than its width. Area is 24cm^2. What are the dimensions of this?
Answer by Math_Boss(45) About Me  (Show Source):
You can put this solution on YOUR website!
l=%28w%2B2%29
A=l%2Aw
substitute l=%28w%2B2%29
A=%28w%2B2%29%2Aw
A=w%5E2%2B2w
24=w%5E2%2B2w
0=w%5E2%2B2w-24
factor
%28w-4%29%28w%2B6%29=0
w=4 use
w=-6 reject
l=4+2=6
Answer: w=4 cm, l=6 cm
Check: 4%2A6=24