A rectangular swimming pool has a perimeter of 96 ft. The area of the pool is 504 ft2. Which system of equations models this sit

Question

3 years ago

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A rectangular swimming pool has a perimeter of 96 ft. The area of the pool is 504 ft2. Which system of equations models this sit

uation 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

Mathematics

1 answer:

iVinArrow [24] · Answer 1 · 2021-12-04T16:31:56+03:00

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 ...

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