A rectangular swimming pool has a perimeter of 96 ft. The area of the pool is 504 ft squared 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?
Answer
A
2 l plus 2 w is equal to 96 open paren l plus w close paren squared is equal to 504
B
l plus w is equal to 96 open paren l plus w close paren squared is equal to 504
C
2 l plus 2 w is equal to 96 l w is equal to 504
D
l plus w is equal to 96 l w is equal to 504
Explanation
A rectangle’s perimeter is 2l + 2w, so the perimeter equation is 2l + 2w = 96. Its area is length times width, so the area equation is lw = 504. Together these match choice D: 2l + 2w = 96 and lw = 504.
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