SOLUTION: a rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width. This is my attempt to the

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width. This is my attempt to the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 269618: a rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width.
This is my attempt to the problem but then I am stuck.
A=lw
216=6(L) * w

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
A+=+L%2AW Substitute A = 216, and L = W+6
216+=+%28W%2B6%29%28W%29
216+=+W%5E2%2B6W Rearrange to:
W%5E2%2B6W-216+=+0 Factor.
%28W%2B18%29%28W-12%29+=+0 so...
W+=+-18 or W+=+12 Discard the negative solution.
W+=12 and...
L+=+%28W%2B6%29
L+=+18 so...
The length of the cutting board is 18 inches and the width is 12 inches.