SOLUTION: a rectangular garden is 3 times as long as it is wide. If the area of the garden is 1200 ft^2, find the length and the width of the garden. Show work to find the answer please.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: a rectangular garden is 3 times as long as it is wide. If the area of the garden is 1200 ft^2, find the length and the width of the garden. Show work to find the answer please.      Log On


   



Question 1019294: a rectangular garden is 3 times as long as it is wide. If the area of the garden is 1200 ft^2, find the length and the width of the garden. Show work to find the answer please.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the width, w. Then the length has to be 3w.
The area of a rectangle is length times width...
A = LW = (3w)(w) = 1200 ...from this we get
3w^2 = 1200
w^2 = 400
w = 20 ft
and the length is 3w or 60 ft