SOLUTION: The length of a rectangular garden is 4 m greater than the width. The area is 71 m^2. Find the dimensions of the garden.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The length of a rectangular garden is 4 m greater than the width. The area is 71 m^2. Find the dimensions of the garden.      Log On


   

Question 991022: The length of a rectangular garden is 4 m greater than the width. The area is 71 m^2. Find the dimensions of the garden.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
L and w;
L=w%2B4
and
wL=71

w%28w%2B4%29=71
w%5E2%2B4w-71=0

w=%28-4%2Bsqrt%284%5E2-4%28-71%29%29%29%2F2
w=%28-4%2B2sqrt%281%2B71%29%29%2F2
w=-2%2Bsqrt%2872%29
highlight%28w=-2%2B6sqrt%282%29%29 and you can evaluate L.