. Find the dimensions of the rectangle with a perimeter of 100 m that has the
largest possible area.
ANSWER:) 𝑥 = 𝑦 = 25 are the dimensions
that will gives the maximum area.
I WANT THE STEPS PLZ
ITS OPTIMIZATION
as the answer shows, a square is the largest area for a given perimeter.
So say we have a perimeter of length 2p, and the rectangle has dimensions x and y. Then we know
x+y = p
A = xy = x(p-x)
dA/dx = p - 2x
dA/dx=0 when x = p/2
thus, also y = p/2
and the rectangle is a square.