Composite Mathematics Solutions

Composite Mathematics is a comprehensive textbook designed for students of Class 7. It covers various mathematical concepts and provides step-by-step solutions to the problems given in the textbook. Here, we will discuss the solutions to the chapter "Perimeter and Area" from NCERT Solutions (Part - 2) for Class 7.

Chapter Overview: Perimeter and Area

The chapter "Perimeter and Area" focuses on the calculation of perimeter and area of different shapes such as rectangles, squares, triangles, and circles. It introduces students to the formulas and methods required to find the perimeter and area of these shapes.

Solutions to the Problems

1. Rectangle:
- To find the perimeter of a rectangle, we add the lengths of all four sides. The formula for the perimeter of a rectangle is given as P = 2 (length + breadth).
- To find the area of a rectangle, we multiply its length and breadth. The formula for the area of a rectangle is given as A = length × breadth.

2. Square:
- The perimeter of a square is calculated by adding all four sides of equal length. The formula for the perimeter of a square is given as P = 4 × side.
- The area of a square is obtained by multiplying the length of one side by itself. The formula for the area of a square is given as A = side × side.

3. Triangle:
- The perimeter of a triangle is calculated by adding the lengths of all three sides. The formula for the perimeter of a triangle is given as P = side1 + side2 + side3.
- The area of a triangle can be found using different methods such as base × height/2 or Heron's formula.

4. Circle:
- The perimeter of a circle is known as its circumference. It is calculated by multiplying the diameter of the circle by π (pi). The formula for the circumference of a circle is given as C = 2πr, where r is the radius of the circle.
- The area of a circle is calculated by multiplying the square of its radius by π. The formula for the area of a circle is given as A = πr^2.

Conclusion

In the chapter "Perimeter and Area" of NCERT Solutions (Part - 2), students learn about the concepts and formulas related to finding the perimeter and area of various shapes. By understanding these concepts and practicing the given problems, students can enhance their mathematical skills and problem-solving abilities. The solutions provided in the book help students to clarify their doubts and improve their understanding of the topic.

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