Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y , of the rectangular garden that she creates if one side is x feet long? cap A is equal to l w
Answer
A
y is equal to open paren 60 minus x close paren times open paren 60 plus x close paren
B
y is equal to open paren 120 minus x close paren times open paren 120 plus x close paren
C
y is equal to open paren 60 minus x close paren times x
D
y is equal to open paren 120 minus x close paren times x
Explanation
Let the rectangle’s sides be x feet and w feet. Since the perimeter is 120 feet, 2x + 2w = 120, so w = 60 − x. The area is length times width, giving y = x(60 − x), which is choice D.
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