Question

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? StartLayout Enlarged Left-Brace 1st Row l + w = 96 2nd Row (l + w) squared = 504 EndLayout StartLayout Enlarged Left-Brace 1st Row 2 l + 2 w = 96 2nd Row (l + w) squared = 504 EndLayout StartLayout Enlarged Left-Brace 1st Row l + w = 96 2ndRow l w = 504 EndLayout StartLayout Enlarged Left-Brace 1st Row 2 l + 2 w = 96 2ndRow l w = 504 EndLayout

Answer 1

Answer:

  StartLayout Enlarged Left-Brace 1st Row 2 l + 2 w = 96 2ndRow l w = 504 EndLayout

Step-by-step explanation:

The equation for the perimeter is ...

  P = 2l +2w

The equation for the area is ...

  A = lw

Using these equations with the given perimeter and area, we can write the system of equations ...

  $\boxed{\displaystyle\left \{ {{2l+2w=96} \atop {lw=504}} \right.}$