SOLUTION: Kay wants a rectangular area in the greenhouse reserved for African Violets. She says the width of the area must be one foot less than the length. She also says the area must be at

Algebra ->  Systems-of-equations -> SOLUTION: Kay wants a rectangular area in the greenhouse reserved for African Violets. She says the width of the area must be one foot less than the length. She also says the area must be at      Log On


   



Question 66528: Kay wants a rectangular area in the greenhouse reserved for African Violets. She says the width of the area must be one foot less than the length. She also says the area must be atleast 12 square feet. What widths would satisfy Kay's requirements?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
length = l
width = l - 1
width*length = area
l(l - 1) >= 12
l^2 - l - 12 >= 0
(l^2 - 4l) + (3l - 12) >= 0
l(l - 4) + 3(l - 4) >= 0
(l + 3)(l - 4) >= 0
<=====(-3]-------[4)====>
Length can not be negative, so:
l+%3E=+4 while w+%3E=+3