A large lot in a park is going to be split into two softball fields, and each field will be enclosed with a fence.

• A rectangular lot, wider in width than it is tall in height, is shown. A vertical line begins about halfway across the top of the rectangle extends down to bottom side, splitting the lot in two.
• The top side length is labeledy.
• The left and right side lengths are labeledx, as well as the middle vertical line.

The parks and recreation department has2,400feet of fencing to enclose the fields. What dimensions will enclose the greatest area?(a)Fill in the following equation.

x+

y=2,400

(b)Solve the equation in part (a) fory.

y= +

x

(c)Using

A=xy,

write an equation for the areaAin terms ofx.A=

(d)What values ofxandywill maximize the area of the enclosures?x= y= (e)What is the maximum area (in square feet)? sq ft