SOLUTION: 1)The length of a rectangle is 1 meter less than four times the width. If the area of the rectangle is 60 square meters, find the dimensions. Width____ft, Lenth_____ft. 2 {{{(2

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Question 201183: 1)The length of a rectangle is 1 meter less than four times the width. If the area of the rectangle is 60 square meters, find the dimensions. Width____ft, Lenth_____ft.
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Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


1) Let represent the width. Then the length is .

The area is the product of the length and the width, so:





Solve the quadratic (it factors). Exclude the negative root because you are looking for a positive measure of length. The positive root will be your width.

2)

Factor both denominators:



The LCD is then:



Apply the LCD:



Distribute and apply FOIL to the numerators:





Add the numerators and collect like terms:



Since the numerator does not have rational factors, there are no common factors with the denominator, so expand the denominator and you are done:







John