SOLUTION: The area of a rectangular blanket is 33 square feet. The blanket's length is (3x+8) feet and the blankets width is 3x feet. What is the dimension of the blanket? Provide a justific

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Question 373093: The area of a rectangular blanket is 33 square feet. The blanket's length is (3x+8) feet and the blankets width is 3x feet. What is the dimension of the blanket? Provide a justification for each step.
Answer by amoresroy(361) About Me  (Show Source):
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The area of a rectangular blanket is 33 square feet. The blanket's length is (3x+8) feet and the blankets width is 3x feet. What is the dimension of the blanket? Provide a justification for each step.
Solve for x
3x(3x+8)= 33
Divide by 3
3x^2+8x = 11
3x^2+8x-11 = 0
(3x+11)(x-1) =
Get the positive value for x
x-1 = 0
x = 1
Length = (3x+8) = 3+8 = 11
Width = 3x = 3