NCERT Solutions for Class 5 Maths Chapter 11 Area and its Boundary

NCERT Solutions for Class 5 Maths Chapter 11: The NCERT Solutions for Class 5 Maths Chapter 11 - "Area and its Boundary" provide students with a clear understanding of how to measure the area and perimeter of various shapes.

NCERT Solutions for Class 5 Maths Chapter 11 PDF

NCERT Solutions for Class 5 Maths Chapter 11 PDF

NCERT Solutions for Class 5 Maths Chapter 11 Area and its Boundary

Whose Slice is Bigger?

Parth and Gini bought aam pappad (dried mango slice) from a shop. Their pieces looked like these.

1. Suggest some ways to find out whose piece is bigger. Discuss.

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NCERT Solutions for Class 5 Maths

2. Altogether how many squares can be arranged on it? ________

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3. So the area of piece A = ________ square cm

4. In the same way find the area of piece B.

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5. Who had the bigger piece? How much bigger?

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Cover with stamps:

This stamp has an area of 4 square cm. Guess how many such stamps will cover this big rectangle.

a) Measure the yellow rectangle. It is ________ cm long.

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b) How many stamps can be placed along its length? ________

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c) How wide is the rectangle? ________ cm

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d) How many stamps can be placed along its width? ________

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e) How many stamps are needed to cover the rectangle? ________

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f) How close was your earlier guess? Discuss.

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g) What is the area of the rectangle? ________ Square cm

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h) What is the perimeter of the rectangle? ________ cm

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Practice time:

a) Arbaz plans to tile his kitchen floor with green square tiles. Each side of the tile is 10 cm. His kitchen is 220 cm in length and 180 cm wide. How many tiles will he need?

b) The fencing of a square garden is 20 m in length. How long is one side of the garden?

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c) A thin wire 20 centimeters long is formed into a rectangle. If the width of this rectangle is 4 centimeters, what is its length?

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d) A square carrom board has a perimeter of 320 cm. How much is its area?

e) How many tiles like the triangle given here will fit in the white design? Area of design = ________ square cm

Take a thick paper sheet of length 14 cm and width 9 cm. You can also use an old postcard.

1. What is its area? What is its perimeter?

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2. Now cut strips of equal sizes out of it. Using tape join the strips, end to end, to make a belt.

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3. What is its perimeter _____?

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4. Whose belt is the longest in the class? _____

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Discuss:

1. Why did some of your friends get longer belts than others?

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2. Is the area of your belt the same as the area of the postcard? Why or why not?

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3. What will you do to get a longer belt next time?

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Share the land:

Nasreena is a farmer who wants to divide her land equally among her three children — Chumki, Jhumri and Imran. She wants to divide the land so that each piece of land has one tree. Her land looks like this.

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2. If each square on this page is equal to 1 square metre of land, how much land will each of her children get? ________ Square m

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3. Chumki, Jhumri and Imran need wire to make a fence.

Who will need the longest wire for fencing? _________

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4. How much wire in all will the three need? ___________

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1. The perimeter of square A is __________ cm.

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2. The side of square B is __________ cm.

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3. The area of square B is __________ square cm.

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4. The area of square B is __________ times the area of square A.

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5. The perimeter of square B is __________ cm.

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6. The perimeter of square B is __________ times the perimeter of square A.

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Save the Birds:

There are two beautiful lakes near a village. People come for boating and picnics in both the lakes. The village Panchayat is worried that with the noise of the boats the birds will stop coming. The Panchayat wants motor boats in only one lake. The other lake will be saved for the birds to make their nests.

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b) What is the length of the boundary of Lake B in the drawing?

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c) How many kilometers long is the actual boundary of Lake A?

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d) How many kilometers long is the actual boundary of Lake B?

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e) A longer boundary around the lake will help more birds to lay their eggs. So which lake should be kept for birds? Which lake should be used for boats?

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f) Find the area of Lake B on the drawing in square cm. What is its actual area in square km?

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King’s Story:

The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar. King’s Story Cheggu was happy. He took 100 metres of wire and tried to make different rectangles. He made a 10 m × 40 m rectangle. Its area was 400 square metres. So he next made a 30 m × 20 m rectangle.

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2. What other rectangles can he make with 100 metres of wire? Discuss which of these rectangles will have the biggest area.

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3. Cheggu’s wife asked him to make a circle with the wire. She knew it had an area of 800 square metres. Why did Cheggu not choose a rectangle? Explain.

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4. So Anar also tried many different ways to make a boundary for 800 square metres of land. He made rectangles A, B and C of different sizes. Find out the length of the boundary of each. How much gold wire will he get for these rectangles?

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ii. Gold wire for B = _________ metres

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iii. Gold wire for C = ____________ metres

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iv. So he will get ____________ metres of gold wire!!

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Benefits of NCERT Solutions for Class 5 Maths Chapter 11 Area and its Boundary

• Clear explanations: The NCERT Solutions provide clear and concise explanations for each concept covered in Chapter 11 - "Area and its Boundary." This clarity helps students understand the topics better.
• Practice questions: The solutions include a variety of practice questions that cover different aspects of finding the area and perimeter of shapes. This helps students reinforce their learning and build confidence in solving mathematical problems.
• Coverage of CBSE syllabus: The solutions are designed according to the CBSE syllabus, ensuring that students are well-prepared for their exams and can excel in their studies.
• Improves problem-solving skills: By solving the practice questions provided in the solutions, students can improve their problem-solving skills and develop a deeper understanding of mathematical concepts related to area and perimeter.
• Enhances exam preparation: Using the NCERT Solutions, students can effectively prepare for their exams by practicing a wide range of questions and mastering the concepts covered in Chapter 11. This can lead to better performance in exams.