Nya is building a garden in her yard. She has 24 feet of fencing of her garden and wants it to be in the shape of a rectangular with a length of 3 feet. What does the width need to be for this to work?
Options:
4
9
6
3
To determine the width of the rectangular garden, we can use the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width.
Given that the length is 3 feet and the total fencing available is 24 feet, we can set up the equation:
2(length) + 2(width) = 24
Substituting the given length, we have:
2(3) + 2(width) = 24
6 + 2(width) = 24.
Simplifying further:
2(width) = 24 - 6
2(width) = 18.
Dividing both sides of the equation by 2, we find:
(width) = 18/2
(width) = 9.
Therefore, the width of the rectangular garden needs to be 9 feet for this setup to work.
So the answer is option 9.