SOLUTION: I know this is the right answer but what are the steps that gets me there? The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 74 cm^2

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Question 51373This question is from textbook Beginning Algebra
: I know this is the right answer but what are the steps that gets me there?
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.
4w^2+w-74=0
w=4.178 & -4.428 This question is from textbook Beginning Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=L*W OR 74=(4W+1)w OR 74=4W^2+1W OR 4W^2+1W-74=0 OR USING THE QUADRATIC EQUATION WE GET A POSITIVE ANSWER FOR 4.178 & THE OTHER ANSWER IS -4.428. THEREFORE THE ANSWER IS A WIDTH OF 4.178 & A LENGTH OF 4*4.178+1=17.712
THUS 4.178*17.712=74 OR 74=74