Final Answer:
The total area of the pool and path is 1350 square feet.
The area of the pool is 1000 square feet.
The area of the path is 350 square feet.
35 bags of pebbles are needed to cover the path.
Step-by-step explanation:
The diagram shows that the pool is 25 feet wide and 40 feet long. The path is 2.5 feet wide on all sides of the pool.
To calculate the total area of the pool and path, we need to find the area of the pool and the area of the path, and then add those two areas together.
The area of the pool is simply the width of the pool times the length of the pool:
Pool area = 25 feet × 40 feet = 1000 square feet
To find the area of the path, we need to find the dimensions of the pool and path together. The width of the pool and path together is the width of the pool plus two times the width of the path. The length of the pool and path together is the length of the pool plus two times the width of the path.
Total width = 25 feet + 2 × 2.5 feet = 30 feet
Total length = 40 feet + 2 × 2.5 feet = 45 feet
Now that we know the dimensions of the pool and path together, we can find the area:
Total area = 30 feet × 45 feet = 1350 square feet
The area of the path is the difference between the total area and the pool area:
Path area = Total area - Pool area = 1350 square feet - 1000 square feet = 350 square feet
We can find the number of bags of pebbles needed to cover the path by dividing the area of the path by the area covered by one bag of pebbles:
Bags of pebbles = Path area / Area per bag = 350 square feet / 10 square feet/bag = 35 bags
Therefore, the total area of the pool and path is 1350 square feet. The area of the pool is 1000 square feet. The area of the path is 350 square feet. 35 bags of pebbles are needed to cover the path.