SOLUTION: The length of a rectangular garden is 2 ft less than the triplex of its width. If area is 21 ft2 , set the length and width.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The length of a rectangular garden is 2 ft less than the triplex of its width. If area is 21 ft2 , set the length and width.      Log On


   

Question 1074414: The length of a rectangular garden is 2 ft less than the triplex of its width. If area is
21 ft2
, set the length and width.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y dimensions

system%28x=3y-2%2Cxy=21%29

%283y-2%29%2Ay=21
3y%5E2-2y-21=0
y=%282%2Bsqrt%284%2B4%2A3%2A21%29%29%2F%282%2A3%29
y=%282%2B2sqrt%2864%29%29%282%2A3%29
y=%281%2B8%29%2F3
y=3
-
x=7

-
Length is 7 feet
Width is 3 feet