A rectangular pool is 40 meters long and 30 feet wide. A walkway 3 feet
wide surrounds the pool. What is area of the walkaway.
A 120 B 456 C 1191 D 1200
1200
subtract the area of the pool from the total area:
(40+6)(30+6) - 40*30
To find the area of the walkway, you need to calculate the area of the larger rectangle created by adding the walkway to the width and length of the pool, and then subtract the area of the pool itself.
1. Start by converting the width and length of the pool to the same units:
- Pool Length: 40 meters
- Pool Width: 30 feet
2. Since 1 meter is equal to approximately 3.281 feet, you can convert the pool length to feet:
- Pool Length in feet: 40 meters * 3.281 feet/meter ≈ 131.2 feet
3. The walkway is 3 feet wide, so add 3 feet to both the length and width of the pool:
- Length of the larger rectangle: Pool Length + 2 * Walkway Width = 131.2 feet + 2 * 3 feet = 131.2 feet + 6 feet = 137.2 feet
- Width of the larger rectangle: Pool Width + 2 * Walkway Width = 30 feet + 2 * 3 feet = 30 feet + 6 feet = 36 feet
4. Calculate the area of the larger rectangle:
- Area of the larger rectangle: Length * Width = 137.2 feet * 36 feet = 4951.2 square feet
5. Next, calculate the area of the pool:
- Pool Area: Pool Length * Pool Width = 131.2 feet * 30 feet = 3936 square feet
6. Finally, calculate the area of the walkway by subtracting the pool area from the larger rectangle area:
- Area of the walkway: Area of the larger rectangle - Pool Area = 4951.2 square feet - 3936 square feet = 1015.2 square feet
Therefore, the area of the walkway is approximately 1015.2 square feet, which is closest to option D, 1200.