SOLUTION: the length of a rectangle is 5 centimeters less than three times it width. Its area is 12 squares centimeters. Find the dimensions of the rectangle. Use the formula, area=length*wi
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Question 987183: the length of a rectangle is 5 centimeters less than three times it width. Its area is 12 squares centimeters. Find the dimensions of the rectangle. Use the formula, area=length*width
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Width = x
Length = 3x - 5
Area = Length x Width
12cm^2 = (3x - 5)(x)
12cm^2 = 3x^2 - 5x
Sort into ax^2 + bx + c = 0 form
3x^2 - 5x - 12 = 0
Factorise
(3x + 4)(x - 3) = 0
3x + 4 = 0
3x = -4
x = -4/3 (No answer as -ve)
x - 3 = 0
x = 3
Width = 3cm
Length = 4cm
Hope this helps :-)
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