NCERT Solutions Class 7 Maths Chapter 11: Perimeter and Area
Class 7 introduces students to several new Mathematics topics and concepts, which will be further built upon in higher grades. This makes it very important that Class 7 students focus on building a strong foundation in this subject at this stage.
Students can use the NCERT Solutions for Class 7 Mathematics Chapter 11 by Extramarks for their preparations. They can get detailed and accurate solutions to questions given in the NCERT textbook, which will help them understand how to solve the different kinds of problems in a step-by-step manner. If they ever get stuck on a question, they can always refer to the solutions prepared by subject matter experts.
NCERT Solutions Class 7 Maths Chapter 11
Access NCERT Solutions for Class 7 Maths Chapter 11 – Perimeter and Area
NCERT Solutions for Class 7 Maths Chapter 11 –
NCERT Class 7 Mathematics Chapter 11 teaches students how to calculate the perimeters and areas of different types of basic shapes, including squares, circles, triangles and parallelograms. Students are introduced to a lot of different formulas that they must remember and retain to perform well in the exam. They are also taught about how to handle the conversion of measurement units.
Some of the core concepts and formulas included in the chapter are as follows:
- Perimeter is the total length of the boundary of a closed rectilinear figure.
- The surface circled by a two-dimensional figure is its area.
- Area of a Parallelogram = Base × Altitude
- Area of a Triangle = ½ × Base × Altitude corresponding to the base
- Circumference of a circle = 2πr.
- Area of a Circle = πr²
- 1 cm² = 100 mm²
- 1m² = 10000 cm²
- 1 hectare = 10000 m²
- The perimeter of a regular polygon = Length of a side × Number of the sides
Triangle: A triangle is a plane figure surrounded by three lines segments.
Rectilinear Figure: A plane figure encompassed by line segments is called a rectilinear figure. None of the two sides of it intersects at a point other than the vertex.
Quadrilateral: It is a plane figure surrounded by four long segments.
Parallelogram: Parallelogram is a plane figure encircled by four long segments. The opposite sides of a parallelogram are equal and parallel in length.
Area of a Triangle: The area of a triangle is ½ × Base × Height (Altitude corresponding to the base).
Example: base = 6 cm, height = 12cm. What is the area of a triangle?
As the formula goes; ½ × Base × Height
= (½ × 6 × 12) cm² = 36 cm²
Area of a Parallelogram: Base × Altitude (height)
Example: base = 10 cm and height = 5 cm
The formula of parallelogram: base × height
= (10 × 5) cm²
= 50 cm²
Circumference of a Circle: Perimeter of a circle is similar to the circumference of a circle. The students would draw four circles of different radii and find their circumference with the ratio of the circumferences to the diameter. The ratio will be more than three times its diameter.
Area of a Circle: The area a circle occupies on a flat plane which has its length and breadth, is known as the area of a surface. The formula to find the area is πr².
Conversion of Units
|
Units of Length
|
Units of Area
|
| 1 cm = 10 mm |
1 cm² = (10 x 10) mm² = 100 mm² |
| 1 dm = 10 cm |
1 dm² = (10 x 10) cm² = 100 cm² |
| 1 m = 10 dm |
1 m² = (10 x 10) dm² = 100 dm² |
| 1 dam = 10 m |
1 dam² = (10 x 10) m² = 100 m² |
| 1 hm = 10 dam |
1 hm² = ( 10 x 10 ) dam² = 100 dam² |
| 1 km = 10 hm |
1 km² = ( 10 x 10) hm² = 100 hm² |
Note:
1m = 100 cm ∴ 1 m² = 10000 cm²
1 km = 1000 m ∴ 1 km² = 10, 00, 000 m²
1 hectare (ha) = 100 m x 100m = 10000 m²
NCERT Solutions for Class 7 Maths
Mathematics is that one subject that many students struggle with. This is because getting good at Mathematics requires one to practise solving many problems and most students don’t do that. With NCERT Solutions of Class 7 Mathematics, Extramarks tries to provide students with a very valuable resource that they can use to get better at the subject and eventually score well in their final exams. Students can use these solutions if they ever get stuck on a problem or to learn the approach to how to solve the different kinds of problems encountered in any NCERT Mathematics Class 7 Chapter 11.
The NCERT Solutions by Extramarks are prepared by subject matter experts who give special attention to providing detailed and accurate solutions in a step-by-step manner so that students can easily grasp the problem-solving approach. Students can use these resources for their preparations, last-minute revisions, and for help with their assignments.
NCERT Solutions for Class 7
Apart from Mathematics, Extramarks provides comprehensive solutions to textbook questions for all of the other subjects covered in Class 7. All the solutions are prepared by their respective subject experts and extra care is given to providing accurate solutions which students can rely on. Students can download all these solutions from the Extramarks website.