To answer this question we need to know a few key concepts.

**A rectangle has 4 sides.** **The perimeter of a rectangle is equal to : 2L (the length of 2 sides) + 2W (the width of 2 sides)**
**Therefore the formula for the perimeter of a rectange is : P = 2L + 2W**

We will use these concepts to from an equation based on what we know.

**We know that the perimeter is 84 ft.** **We know that the length is 2 ft more than the width.**

We will let length = **2L**

We will let width =** 2W**

Therefore our equation will be: **2L + 2W = 84**

Since we know that the length is 2 ft more than the width , then we know that** L= W +2**

We can substitute ** W+2** for ** L **in our equation.

Therefore our equation becomes: ** 2(W+2) + 2W = 84 **

**We can simplify our equation using the distributive property.**

Our equation becomes**: 2W +2W +4 -84 or 4W + 4 = 84**

We want to isolate our unknown variable (4L) on one side of the equation.

To isolate 4L we will subtract 4 from both sides of the equation.

4W + 4 **-4** = 84**-4 ** **(Remember whatever opearation we perform on one side of the equation, we must perform the same identical operation on the other side fo the equation).**

Our eqation becomes 4W =80

To solve for W**(width)** we divide both sides of the equation by 4.

4W/**4** = 80/**4**

**W = 20**

**Therefore L = W +2 = 20 +2 or 22..**

The width is** 20 ft.**

The length is** 22 ft.**

The final step in solving any equation is to substitute the values into our equation to ensure they satisfy it.

Our equation P(perimeter) = 2L (length) + 2W (width)

2**(22)** + 2 **(20)** = 84

44 + 40 = 84

**84 =84**

**Our solution satisfies our equation, (formula).**

**The garden is 22 ft. long and 20 ft. wide.**