Alice is cutting carpet for a rectangular room. The area of the room is 324ft^2. The length of the room is 3ft longer than twice the width. What should the dimensions of the carpet be?
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The room dimensions are 12feet by 27feet.
You get that from this equation: Width(length) = 324
W[3 +2W] =324 which becomes this quadratic: 2W² +3W -324 = 0
which you can solve with the quadratic formula to get Width, and length [3 +2W].
[When using the quadratic formula you'll want to discard solutions that are not
positive -- like -27/2 which will satisfy the original equation, but is unrealistic.]
You get that from this equation: Width(length) = 324
W[3 +2W] =324 which becomes this quadratic: 2W² +3W -324 = 0
which you can solve with the quadratic formula to get Width, and length [3 +2W].
[When using the quadratic formula you'll want to discard solutions that are not
positive -- like -27/2 which will satisfy the original equation, but is unrealistic.]
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l=27
w=12
w=12