SOLUTION: You decide to tile your kitchen with tile. The width of the room is 5 feet shorter than the length. If you have to buy 360 one square foot tiles to cover the room, what are the dim

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Question 201098: You decide to tile your kitchen with tile. The width of the room is 5 feet shorter than the length. If you have to buy 360 one square foot tiles to cover the room, what are the dimensions of the kitchen?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = width
w+%2B+5 = length
w%2A%28w+%2B+5%29+=+360
w%5E2+%2B+5w+-+360+=+0
w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+1
b+=+5
c+=+-360
w+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A%28-360%29+%29%29%2F%282%2A1%29+
w+=+%28-5+%2B-+sqrt%28+25+%2B+1440+%29%29%2F2+
w+=+%28-5+%2B-+38.275%29%2F2+
w+=+33.275%2F2
w+=+16.638
w+%2B+5+=+21.638
The room is 16.638' x 21.638'
check:
w%2A%28w+%2B+5%29+=+360
16.638%2A21.638+=+359.994 close enough