Problema Solution

You have 2600 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by placing the fencing parallel to one of the sides. Express the area of the playground, A, as a function of one of its dimensions, x.

(It might help to draw a picture!!)

Answer provided by our tutors

x is one dimension of the playground


(2600 - 2x)/2 = 1300 - x is the other dimension of the playground


the area of the playground is A = x*(1300 - x) or A = -x^2 + 1300x.