SOLUTION: Could somebody please help me with this question. A rectangle has a length of 35 yards less than 6 times its width. If the area of the rectangle is 5379 square yards, find the leng

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Question 769017: Could somebody please help me with this question. A rectangle has a length of 35 yards less than 6 times its width. If the area of the rectangle is 5379 square yards, find the length of the rectangle. Thank you!
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x = length
y = width

and
area is
Find x.

Easiest is find y in terms of x and rewrite the area equation.


, substitute this.

, the substitution made into the area equation.


Use general solution to quadratic formula, use the positive sqrt,

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