SOLUTION: A farmer has a rectangular garden plot surrounded by 170 ft of fence. If its area is 1300 ft2, what is the length and width of the garden? (Assume that the length is greater than t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A farmer has a rectangular garden plot surrounded by 170 ft of fence. If its area is 1300 ft2, what is the length and width of the garden? (Assume that the length is greater than t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1149520: A farmer has a rectangular garden plot surrounded by 170 ft of fence. If its area is 1300 ft2, what is the length and width of the garden? (Assume that the length is greater than the width.)
l=
w=
Answer by ikleyn(52845) About Me  (Show Source):
You can put this solution on YOUR website!
.

ANSWER : L = 65 ft; W = 20 ft.


Solution 

It is easy to guess: this pair (65,20) is unique giving the product of 1300 and the sum of 65+20 = 85, half of the perimeter.



It is also easy to get solving the quadratic equation

    W*(85-W) = 1300,

where 85 ft is half of the perimeter  170%2F2 ft.

Solved and explained. And completed.