A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?
Practice Questions
1 question
Q1
A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?
80 m²
100 m²
60 m²
120 m²
Total area with path = (15+2) × (10+2) = 17 × 12 = 204 m². Area of garden = 15 × 10 = 150 m². Area of path = 204 - 150 = 54 m².
Questions & Step-by-step Solutions
1 item
Q
Q: A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?
Solution: Total area with path = (15+2) × (10+2) = 17 × 12 = 204 m². Area of garden = 15 × 10 = 150 m². Area of path = 204 - 150 = 54 m².
Steps: 5
Step 1: Identify the dimensions of the garden. The garden is 15 meters long and 10 meters wide.
Step 2: Calculate the total dimensions of the garden including the path. Since the path is 1 meter wide on all sides, add 2 meters to both the length and the width. So, the new length is 15 + 2 = 17 meters and the new width is 10 + 2 = 12 meters.
Step 3: Calculate the total area of the garden including the path. Use the formula for area (length × width). So, the total area is 17 × 12 = 204 square meters.
Step 4: Calculate the area of the garden without the path. Use the formula for area (length × width). So, the area of the garden is 15 × 10 = 150 square meters.
Step 5: Find the area of the path by subtracting the area of the garden from the total area. So, the area of the path is 204 - 150 = 54 square meters.
