Question

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? a. y = (60 – x)(x) b. y = (120 – x)(120 x) c. y = (120 – x)(x) d. y = (60 – x)(60 x)

Answer 1

The equation that best represents the area of a rectangular garden that Susan could create with 120 feet of fencing, if one side of the rectangle is x feet long, is y = x(60 - x). This is due to the formula for a rectangle's area being length times width.

Step-by-step explanation:

The appropriate equation for this model should represent the area of a rectangle which is given by the product of its length and width. Given that the total fencing, which represents the perimeter of the rectangle, is 120 feet, and that one side of the rectangle is x, the other side (its width) will be (total fencing - twice the length of the rectangle) divided by 2, equating to 60 - x. Therefore, the model equation for the area, y, of the rectangular garden will be y = x(60 - x), where x represents the length of the rectangle. This corresponds to option a. y = (60 – x)(x).

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