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

Answer 1

To determine the width of Nya's garden, we can use the formula for the perimeter of a rectangle, which is given by:

\[ P = 2 \times (length + width) \]

Nya has 24 feet of fencing for the perimeter, and she wants the length to be 3 feet. We can substitute the values into the perimeter formula:

\[ 24 = 2 \times (3 + width) \]

Now, we can simplify the equation:

\[ 24 = 6 + 2 \times width \]

Subtract 6 from both sides:

\[ 24 - 6 = 2 \times width \] \[ 18 = 2 \times width \]

Now, divide both sides by 2 to find the width:

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

So, the width needs to be 9 feet.