Question

1 2 3 4 5 6 7 8 9 10 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

Answer 1

`Area = 60x - x^2`

Explanation:

Given

`Perimeter = 120`

`Side\ 1 = x`

Required

The area of the garden

First, we calculate the length of the other side using:

`Perimeter = 2 *(Side\ 1 + Side\ 2)`

This gives:

`120 = 2 *(x + Side\ 2)`

Divide both sides by 2

`60 = x + Side\ 2`

Make Side 2 the subject

`Side\ 2 = 60 - x`

So, the area of the garden is:

`Area = Side\ 1 * Side\ 2`

`Area = x * (60 - x)`

Expand

`Area = 60x - x^2`