SOLUTION: Well, we're factoring now, so this might have a little to a lot to do with that. I don't know. I suppose if I did, I wouldn't be seeking help. Anyways, the question: The length of

Algebra ->  Rectangles -> SOLUTION: Well, we're factoring now, so this might have a little to a lot to do with that. I don't know. I suppose if I did, I wouldn't be seeking help. Anyways, the question: The length of       Log On


   

Question 989864: Well, we're factoring now, so this might have a little to a lot to do with that. I don't know. I suppose if I did, I wouldn't be seeking help. Anyways, the question: The length of a rectangular garden is six feet less than twice the width. Find the length and the width if the area is 216 square feet. Thanks!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+%7D%7D+=+the+width+in+ft%0D%0A%7B%7B%7B+2w+-+6+ = the length in ft
-----------------------------
+A+=+%28+2w+-+6+%29%2Aw+
+216+=+%28+2w+-+6+%29%2Aw+
+216+=+2w%5E2+-+6w+
+2w%5E2+-+6w+-+216+=+0+
+w%5E2+-+3w+-+108+=+0+
I notice that +108+=+9%2A12+
and +12+-+9+=+3+ , so I'm guessing . . .
+%28+w+-+12+%29%2A%28+w+%2B+9+%29+=+0+
+w+=+12+
This is the answer since width can't be negative
+2w+-+6+=+2%2A12+-+6+
+2w+-+6+=+18+
-------------------
check answer:
+A+=+12%2A18+
+A+=+216+
OK