Q1Written answer
Why did some of your friends get longer belts than others?
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Worked solution
This is because they made belts from thinner strips than others.
NCERT · Class 5 · Maths
Chapter 11: Areas and Its Boundary
Practice each question, then open the answer or worked solution.
Discuss:
17 questionsQ2Written answer
Is the area of your belt the same as the area of the postcard? Why or why not?
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Worked solution
Area of the belt of 3 cm wide strip = length × breadth
= 3 × 42 = 126 square cm
Yes, the area of my belt is the same as the area of the post card. This is because every area of the post card is used for making the belt.
Q3Written answer
What will you do to get a longer belt next time?
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Worked solution
I can get a longer belt by making thinner belts next time.
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.
Q1 (2)Written answer
1. Can you divide the land equally? Show how you will divide it. Remember each person has to get a tree. Colour each person’s piece of land differently
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Worked solution
Total number of boxes = 90
Hence, one person’s share is = 90/3
= 30 boxes.
The division can be done as shown in the given figure:
Q2 (2)Written answer
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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Worked solution
30 square meter.
Q3 (2)Written answer
3. Chumki, Jhumri and Imran need wire to make a fence.
Who will need the longest wire for fencing? _________
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Worked solution
Perimeter of Chumki’s land = 9 + 2 + 3 + 2 + 6 + 4 = 26 m
Perimeter of Jhumri’s land = 6 + 3 + 2 + 3 + 4 + 6 = 24 m
Perimeter of Imraan’s land = 8 + 5 + 3 + 2 + 5 + 3 = 26 m
So it is clear that Chumki and Imraan need longest wire of fencing.
Q4Written answer
How much wire in all will the three need? ___________
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Worked solution
Total length of wire = 26 m + 24 m + 26 m = 76 m.
B. Draw a square of 9 square cm. Write A on it. Draw another square with double the side. Write B on it
Answer these —
Q1 (3)Written answer
1. The perimeter of square A is __________ cm.
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Worked solution
12 cm
Q2 (3)Written answer
2. The side of square B is __________ cm.
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Worked solution
6 cm
Q3 (3)Written answer
3. The area of square B is __________ square cm.
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Worked solution
36 cm