Justin wants to use 188ft. of fencing to fence off the greatest possible rectangular area for the garden. what dimensions should he use what will be the area of the garden

Hello,

Let x the length
y the width

2*(x+y)=188 ==>x+y=94
A= x*y must be maximized

A=x*(94-x)=-(x²-2*47*x+47²)+47²=-(x-17)²+2209
A est maximize if x=47
x=47 =>y=94-47=47 (a square!!!)
Area=47²=2209 (ft²)