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

Algebra ->  Rectangles -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
x = length
y = width
x=-35%2B6y
and
area is xy=5379
Find x.

Easiest is find y in terms of x and rewrite the area equation.
x=6y-35+
6y=x%2B35
y=%28x%2B35%29%2F6, substitute this.

x%28x%2B35%29%2F6=5379 , the substitution made into the area equation.
x%5E2%2B35x=6%2A5379
highlight%28x%5E2%2B35x-6%2A5379=0%29
Use general solution to quadratic formula, use the positive sqrt,
highlight%28x=163%29