I found the dimensions of the room given the information in the problem.

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Question: A contractor is installing carpet in a new house. The rectangular living room has an area of 96 square feet, and the length is twelve feet less than three times the width of the room.
WHAT ARE THE DIMENSIONS OF THE ROOM?

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Answered By:

Cameron K.
20 year old USC student, tutor, and actor.
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Written Explanation:

Let x = width3x - 12 = length(3x - 12)x = 96ft23x2 - 12x - 96 = 0x2 - 4x - 32 = 0(x - 8)(x+4) = 0x = 8 ft because the dimension cannot be a negative number.3(8) - 12 = length = 12 ft length = 12 ftwidth = 8 ft lw = 96 ft2
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