Question

need a flower garden with a premiter of 16ft and area of 12ft

Answer 1

2x+2y=16
x*y=12
y=12/x
substitute

2x+24/x=16
multiply by x

2x^2+24=16x
2x^2-16x+24=0
(2x-12)(x-2)=0
x=2, 6
if x=2 y=6
if x=6, y=2

so the sides are 6 and 2

Answer 2

I would assume the garden has a shape of a rectangle, then \(2l+2w=16\) and \(lw=12\). Now solve for \(l\) and \(w\) to find the dimensions of the garden.

Answer 3

perimeter of 16ft by area of 16ft