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

Answer:

$Area = 60x - x^2$

Step-by-step 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

$Area = 60x - x^2$