Answer:
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.
