Nia is building a gardener Yard. She has 24 feet of fencing for her garden and wanted to be in the shape of a rectangle with a length of 3 feet. What does the west need to be for this work?

1 answer

To build a rectangle with a length of 3 feet, Nia needs to calculate the width of the garden.

First, let's identify the given information:
Length of the garden = 3 feet
Total fencing available = 24 feet

A rectangle has two lengths and two widths, and the total fencing is the sum of all sides.

In a rectangle, the opposite sides have the same length. So, if the length is 3 feet, there would be two sides of 3 feet each.

Now, let's calculate the remaining fencing required for the width:

Total fencing = 2 * length + 2 * width

24 feet = 2 * 3 feet + 2 * width

24 feet = 6 feet + 2 * width

Subtract 6 feet from both sides:

24 feet - 6 feet = 2 * width

18 feet = 2 * width

Divide both sides by 2:

18 feet / 2 = width

9 feet = width

Therefore, the width of the garden needs to be 9 feet for Nia's plan to work.