NCERT Solutions For Class 5 Maths Chapter 11 Area And Its Boundary - 2025-26
FAQs on NCERT Solutions For Class 5 Maths Chapter 11 Area And Its Boundary - 2025-26
1. How do you find the perimeter of a shape as per the NCERT solutions for Class 5 Maths Chapter 11?
To find the perimeter, or the length of the boundary, of any shape in your NCERT exercises, you must add the lengths of all its sides together. For example, for a rectangle with sides of 5 cm and 3 cm, the correct method is to calculate the sum: 5 cm + 3 cm + 5 cm + 3 cm = 16 cm. This total length represents the perimeter.
2. What is the correct step-by-step method to calculate the area of a rectangle in Chapter 11?
The NCERT solutions for Chapter 11, 'Area and its Boundary', outline a clear method for finding the area of a rectangle. The steps are:
- Identify the length and the width (breadth) of the rectangle from the question.
- Use the formula: Area = Length × Width.
- Multiply the two values to get the result.
- Always write the answer in square units (like sq. cm or sq. m), as this is a critical part of the correct answer according to the CBSE pattern.
3. In the NCERT exercises, how do you find the area of irregular shapes like a leaf using a square grid?
For irregular shapes, the NCERT textbook uses the estimation method on a square grid. The correct procedure is:
- Count all the fully filled squares inside the shape's boundary.
- Count all the squares that are half-filled or more than half-filled. Treat each of these as one full square.
- Ignore all the squares that are less than half-filled.
- Add the counts from the first two steps to get an approximate area in square units.
4. How do the NCERT Solutions for Class 5 Maths Chapter 11 help in solving word problems about fencing a field?
The NCERT solutions clarify that when a word problem mentions fencing, making a border, or walking around a field, it is asking for the perimeter (the boundary), not the area. To solve it, you must identify the lengths of all sides of the field from the problem and add them up to find the total length of fencing required.
5. What is the key difference between 'area' and 'boundary' (perimeter) when solving problems in Chapter 11?
The fundamental difference is what you are measuring. The boundary (perimeter) is a one-dimensional measure of length—the distance around an object. It is calculated by adding the lengths of the sides. In contrast, the area is a two-dimensional measure of the space inside that boundary. It is calculated by multiplication (for rectangles) or by counting squares, and its units are always squared (e.g., sq. cm).
6. When solving a problem from Chapter 11, how do you decide whether to calculate the area or the perimeter?
To decide correctly, you must look for keywords in the question.
- Calculate the perimeter (or boundary) if the problem involves concepts like fencing, length of a border, distance around a shape, or framing a picture.
- Calculate the area if the problem is about covering a surface, tiling a floor, measuring the space inside a shape, or comparing how big two flat shapes are.
7. If two rectangles have the same perimeter, do they have to have the same area? How do NCERT solutions help understand this?
No, two rectangles with the same perimeter do not necessarily have the same area. The NCERT solutions demonstrate this with examples. For instance, a rectangle of 6m by 2m has a perimeter of 16m and an area of 12 sq. m. However, a square of 4m by 4m also has a perimeter of 16m but its area is 16 sq. m. This shows that shapes with the same boundary length can enclose different amounts of space.
8. Where can I find accurate, step-by-step NCERT Solutions for Class 5 Maths Chapter 11, fully aligned with the CBSE 2025-26 syllabus?
For reliable NCERT Solutions for Class 5 Maths Chapter 11, 'Area and its Boundary', you should refer to platforms like Vedantu that provide expert-verified answers. These solutions are crafted to be step-by-step and are meticulously updated to follow the official CBSE 2025-26 curriculum, ensuring every method and answer aligns with the prescribed guidelines for your exams.
