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 work?

Question

4

6

9

3

Answer 1

To find the width of the rectangular garden, we can use the formula for the perimeter of a rectangle, which is given by:

\[ P = 2L + 2W \]

where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width.

Nya has 24 feet of fencing for her garden, and the length \( L \) is given as 3 feet. We can substitute these values into the formula:

\[ 24 = 2(3) + 2W \]

Now, simplify the equation:

\[ 24 = 6 + 2W \]

Subtract 6 from both sides:

\[ 24 - 6 = 2W \]

\[ 18 = 2W \]

Now divide both sides by 2 to find \( W \):

\[ W = \frac{18}{2} = 9 \]

Thus, the width of the garden needs to be 9 feet.