SOLUTION: I need to fence a rectangular garden to keep critters out. The garden's length is 5 feet less than twice its width, and the total area is 150 sq. ft. Using a method other than fac

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: I need to fence a rectangular garden to keep critters out. The garden's length is 5 feet less than twice its width, and the total area is 150 sq. ft. Using a method other than fac      Log On

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Question 819912: I need to fence a rectangular garden to keep critters out. The garden's length is 5 feet less than twice its width, and the total area is 150 sq. ft. Using a method other than factoring to solve, what length of fence do I need to surround the garden?
my work: i drew a chart
5 feet less than twice the width is.... 2x-5
must be solved algebraically

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Rectangle: width x and length(2x-5), area = 150ft^2, find Perimeter

A = x(2x-5) = 150f^2
2x^2 -5x - 150 = 0
(2x +15)(x -10) = 0 x = 10ft (tossing out negative solution for unit measure
Rectangle: width of 10ft, length of 15ft
P = 2%2A10ft+%2B+2%2A15ft+=+highlight%2850ft%29 50ft of fencing will be needed