A rectangular swimming pool has a perimeter of 96 ft. The area of the pool is 504 ft2. Which system of equations models this situation correctly, where l is the length of the pool in feet and w is the width of the pool in feet?

2l + 2w = 96 ... eqn1

lw = 504 ... eqn2

Step-by-step explanation:

To model this case where we have two unknowns l and w, we need two equations.

Firstly, the perimeter of a rectangle is given by

2l + 2w = p

Where l, w and p are length, width and perimeter of the rectangle respectively.

Hence,

2l + 2w = 96 ... eqn1

Secondly, the area of a rectangle is given by

Length * width = Area

Hence,

l * w = 504

lw = 504 ... eqn2

With these two equations the solutions to the length and width of the rectangular pool can be derived.