SOLUTION: The length of a rectangle is 5 cm more than 4 times its width. If the area of the rectangle is 80 cm2, find the dimensions of the rectangle to the nearest thousandth. Please

Question 95455: The length of a rectangle is 5 cm more than 4 times its width. If the area of the rectangle is 80 cm2, find the dimensions of the rectangle to the nearest thousandth.

Please Help!
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let w=width
Then length (l)=4w+5 (we are told this)
Area of a rectangle =length x width. So we have
80=w(4w+5) get rid of parens
80=4w^2+5w subtract 80 from both sides
4w^2+5w-80=80-80 or
4w^2+5w-80=0---------quadratic in standard form
Solve using the quadratic formula:

Disregard the negative value for x. Lengths and widths are positive

cm--------------------width
cm-------------length
CK
cm
~80=~80
Hope this helps---ptaylor

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