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.
Enter an equation that expresses the area of the garden in terms of the width, w, of the garden.
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.