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) Responses 3 3 6 6 4 4 9

Explain how to set it up but don't do the equation!

1 answer

To solve this problem, we need to understand that the perimeter of a rectangle is the sum of all its sides. In this case, the perimeter of the garden is given as 24 feet, and the length is given as 3 feet.

We can set up the equation as follows:

2(length) + 2(width) = perimeter
2(3) + 2(width) = 24

Simplifying the equation, we have:

6 + 2(width) = 24

Next, we isolate the variable by subtracting 6 from both sides:

2(width) = 18

Finally, we solve for the width by dividing both sides by 2:

width = 9

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