Nick has enough wire to construct a 100m of fence. he wish to use it to form three sides of a rectangular garden,one side is along his building.
1)What dimensions should be choose in order to enclose the largest possible area?
2)Verify the result thus obtained by graphical illustration.
Ok, dimension are AxB, perimeter is 2A+B
area= AB
but B= Perimeter-2A
area= A(perimeter-2A)
dArea/dA= perimeter-2A+ A(-2)=0
A= perimeter/4
solve for B