Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point)

Question

Responses

4
4

6
6

9
9

3

Answer 1

Let's start by calculating the perimeter of the rectangle. The formula for the perimeter of a rectangle with length L and width W is P = 2L + 2W.

In this case, we know that the length is 3 feet. So, the perimeter is P = 2(3) + 2W.

We also know that Nya has 24 feet of fencing. So, the perimeter must equal 24 feet.

Substituting the values into the equation, we get 24 = 2(3) + 2W.

Simplifying, we get 24 = 6 + 2W.

Subtracting 6 from both sides of the equation, we get 18 = 2W.

Dividing both sides of the equation by 2, we get W = 9.

Therefore, the width needs to be 9 feet for the garden to work.