SOLUTION: Please help me solve this word problem. A rectangular room has an area of 101.500000 square feet and a perimeter of 43 feet. What are the dimensions of the room? Find the exact

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Question 7331: Please help me solve this word problem.
A rectangular room has an area of 101.500000 square feet and a perimeter of 43 feet. What are the dimensions of the room? Find the exact solution.
I know that area = lw and perimeter = 2(l + w) and I know that this will end up being a quadratic equation. Not sure how to plug everything in and solve.
Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website!
A rectangular room has an area of 101.500000 square feet and a perimeter of 43 feet. What are the dimensions of the room? Find the exact solution.
OK, definitions:
Let x=width and y=length

area: xy=101.5

perimeter: 2(x+y) = 43
--> x+y = 43/2
--> y = 21.5 - x

so sub this into the area equation to give x(21.5 - x) = 101.5
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factorise this or use the quadratic formula :-)

jon.