Case Study Questions on Perimeter and Area
In Class 7 Maths, understanding perimeter and area is crucial for solving real-world problems. Here are some engaging case study questions along with their detailed answers.
Question 1: Garden Dimensions
A rectangular garden measures 10 meters in length and 5 meters in width.
- What is the perimeter of the garden?
- What is the area of the garden?
Answer:
- Perimeter Calculation:
- Formula: Perimeter = 2 * (length + width)
- Calculation: 2 * (10 + 5) = 2 * 15 = 30 meters
- Area Calculation:
- Formula: Area = length * width
- Calculation: 10 * 5 = 50 square meters
The perimeter of the garden is 30 meters, and the area is 50 square meters.
Question 2: Swimming Pool
A circular swimming pool has a radius of 7 meters.
- What is the circumference (perimeter) of the pool?
- What is the area of the pool?
Answer:
- Circumference Calculation:
- Formula: Circumference = 2 * π * radius
- Calculation: Approximately 2 * 3.14 * 7 = 43.96 meters
- Area Calculation:
- Formula: Area = π * radius²
- Calculation: Approximately 3.14 * 7 * 7 = 153.86 square meters
The circumference of the swimming pool is approximately 43.96 meters, and the area is approximately 153.86 square meters.
Question 3: Classroom Floor
A classroom is in the shape of a square with each side measuring 8 meters.
- What is the perimeter of the classroom?
- What is the area of the classroom?
Answer:
- Perimeter Calculation:
- Formula: Perimeter = 4 * side
- Calculation: 4 * 8 = 32 meters
- Area Calculation:
- Formula: Area = side * side
- Calculation: 8 * 8 = 64 square meters
The perimeter of the classroom is 32 meters, and the area is 64 square meters.
These questions help solidify the understanding of perimeter and area concepts in a practical context.