SOLUTION: The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 74 cm^2, find the dimensions of the rectangle to the nearest thousandth.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 74 cm^2, find the dimensions of the rectangle to the nearest thousandth.      Log On


   

Question 51210This question is from textbook Beginning Algebra
: The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 74 cm^2, find the dimensions of the rectangle to the nearest thousandth. This question is from textbook Beginning Algebra

Answer by checkley71(8403) About Me  (Show Source):
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L*W=74 & L=4W+1 OR (4W+1)W=74 OR 4W^2+W-74=0 OR USING THE QUADRATIC FORMULA WE GET W=4.178 & -4.428 SO THE WIDTH IS 4.178 & THE LENGTH IS 4*4.178+1 OR 17.712
PROOF 4.178*17.712=74 OR 74=74