Question 205701
Perimeter  of  rectangle  = 2* Length  + 2* Width
.
P =250 = 2L +2W,,,,,dividing  by  2
.
125 = L+W,,,,,W=125-L
.
Area  =  L*W = L*(125-L) = 125L -L^2
.
making  a  table
.
L,,,,,,,Area
.
1,,,,,,,124
.
60,,,,,,3900
.
62,,,,,,3906
.
62.5,,,,3906.25,,,,,max,,,,L=W=62.5
.
63,,,,,,3906
.
The  max  area  of  the  rectangle  occurs  when  L=W=62.5 ft,,,,
.
This  makes  rectangle  into  a  square
.