You are planning to build a walkway that surrounds a rectangular garden that is 10ft by 9ft. The width of the walkway around the garden is unknown, but it will be the same on every side.

What is your question?

To find the width of the walkway, you can subtract the dimensions of the garden from the dimensions of the entire walkway and then divide the result by 2 since the walkway will be the same width on each side.

Let's denote the width of the walkway as "w". The length of the garden, including the walkway, would be (10 + 2w) feet, and the width of the garden, including the walkway, would be (9 + 2w) feet.

Since the dimensions of the entire walkway are unknown, we cannot calculate the exact width of it. However, we can provide an equation to find the minimum and maximum possible widths of the walkway.

To find the minimum width, assume that the walkway is as narrow as possible, which means it touches the sides of the garden. In this case, the length of the entire walkway is equal to the length of the garden plus twice the width of the walkway: (10 + 2w). The width of the entire walkway is equal to the width of the garden plus twice the width of the walkway: (9 + 2w). Since the walkway is the same width on each side, we can set up the equation:

(10 + 2w) = (9 + 2w)

By simplifying the equation, we find:

w = 1

Therefore, the minimum width of the walkway would be 1 foot.

To find the maximum width, assume that the walkway is as wide as possible, which means it fills all the remaining space around the garden. In this case, the length of the entire walkway is equal to the length of the garden plus twice the width of the walkway: (10 + 2w). The width of the entire walkway is equal to the width of the garden plus twice the width of the walkway: (9 + 2w). Again, we set up the equation:

(10 + 2w) = (9 + 2w)

By simplifying the equation, we find:

w = 0

Therefore, the maximum possible width of the walkway would be 0 feet, which means no walkway is present.

So, the width of the walkway could range from 0 feet (no walkway) to 1 foot (minimal walkway).