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 = lw

a. y = (60 - x)(x)
b. y = (120 - x)(120 + x)
c. y = (120 - x)(x)
d. y = (60 - x)(60 + x)

Option a is correct

y = (60-x)(x)

Step-by-step explanation:

Area of the rectangle(A) is given by:

where,

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden.

Here,

x represents the length of the rectangle and y represents the area of the rectangular garden.

Perimeter of the rectangle(P) is given by:

Substitute the given values we have;

Divide both sides by 2 we have;

Subtract x from both sides we have;

Then substitute this in [1] we have;

Therefore, an equation best models the area, y, of the rectangular garden that she creates if one side is x feet long is,

y = (60-x)(x)

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5