SOLUTION: A rectangle has an area of 728 square inches and a length which is four inches more than four times the width. Find the length and the width of the rectangle.

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Question 799030: A rectangle has an area of 728 square inches and a length which is four inches more than four times the width. Find the length and the width of the rectangle.
Answer by Finavon(81) About Me  (Show Source):
You can put this solution on YOUR website!
sides l and w
l*w=728 (1)
l=4w+4 {2)
subst for l in (1)
w*(4w+4)=728
+w%5E2+%2B+w+-+182+=+0+
+w+=+%28-1+%2B-sqrt%281%2B4%2A182%29%29%2F2+
+w+=+%28-1+%2B-sqrt%28729%29%29%2F2+=+%28-1+%2B-+27%29%2F2+
Real solution w=13 in and l=56 in
Check: 13*56 = 728