Here’s a summary of the topic “Perimeter and Area” from Class 6 Mathematics ICSE:
1. **Perimeter**: The perimeter of a shape is the total length of its boundary. For rectangles and squares, the perimeter is the sum of all sides (P = 2(l + b) for a rectangle, P = 4s for a square, where l is length, b is breadth, and s is the side length).
2. **Area**: The area of a shape is the measure of the region enclosed by its boundary. For rectangles and squares, the area is the product of its length and breadth (A = l * b for a rectangle, A = s^2 for a square).
3. **Units**: Perimeter is measured in linear units (like centimeters, meters, etc.), while area is measured in square units (like square centimeters, square meters, etc.).
4. **Formulas for Some Common Shapes**:
– Rectangle: Perimeter = 2(l + b), Area = l * b
– Square: Perimeter = 4s, Area = s^2
– Circle: Circumference = 2πr, Area = πr^2 (where r is the radius)
5. **Application**: Perimeter and area are used in various real-life situations, such as calculating the amount of fencing needed for a garden, the area of a room for carpeting, etc.
6. **Problem Solving**: To solve problems related to perimeter and area, understand the given shape, identify the measurements, and apply the appropriate formula to find the required solution.
Remember to practice solving problems to reinforce your understanding of these concepts.