Ricky is building a rectangular garden with an area of 100 square feet. He wants the length of the garden to equal 4 feet more than 2 times the width.

width = W Feet.

Length = 2W+4 Feet.

A = (2W+4)*W.
(2W+4)*W = 100.

Git would be 12

Let's start by assigning variables to the length and width of the garden.

Let's say:
Length = L
Width = W

We know that the length of the garden equals 4 feet more than 2 times the width. So we can write this as:

L = 2W + 4

The area of a rectangle is given by the formula:

Area = Length * Width

In this case, we know the area is 100 square feet. So we can write this as:

100 = L * W

Substituting the value of L from the first equation into the second equation, we get:

100 = (2W + 4) * W

Therefore, the equation that expresses the area of the garden in terms of the width, W, is:

100 = (2W + 4) * W

To express the area of the garden in terms of the width, we can use the formula for the area of a rectangle: Area = Length x Width.

Let's denote the width of the garden as w. According to the problem, Ricky wants the length of the garden to equal 4 feet more than 2 times the width.

So, the length would be 2w + 4.

Now, we can write the equation for the area using these expressions:

Area = Length x Width
100 = (2w + 4) x w

Therefore, the equation that expresses the area of the garden in terms of the width, w, is: 100 = (2w + 4)w.