Answer: To determine the width of the sidewalk, we need to subtract the area of the garden from the total area covered by the pavers.
The area of the garden is given by the product of its length and width:
Area of the garden = 40 feet * 30 feet = 1200 square feet
To find the area of the sidewalk, we subtract the area of the garden from the total area covered by the pavers:
- Area of the sidewalk = Total area of pavers - Area of the garden
- Area of the sidewalk = 600 square feet - 1200 square feet
- Area of the sidewalk = -600 square feet
Since the area of the sidewalk is negative, it means that the number of pavers is not enough to cover the entire garden. In this case, Emily would not be able to build a sidewalk of uniform width around her garden using all the pavers. She would either need to obtain more pavers or consider a different design option.