Respuesta :
Answer:
square of each side=38 ft
Step-by-step explanation:
square has the largest area.
each side=152/4=38ft
alternatively
let x and y be the sides
2x+2y=152
x+y=76
y=76-x
area A=xy=x(76-x)=76x-x²
[tex]\frac{dA}{dx} =76-2x\\\frac{dA}{dx} =0,gives ~76-2x=0\\2x=76\\x=76/2=38 \\\frac{d^2A}{dx^2} =-2<0~(at~x=38)\\so ~A~is~largest~if~x=38\\y=76-38=38[/tex]