Advertisements
Advertisements
Question
- Find the length of the boundary of square D.
- 8 squares of side 1 cm are cut out of the square D. Now it looks like shape E. What is the length of the boundary of shape E?


- The boundary of this
is ______ + ______ + ______ + ______
Can we also say that the boundary is 4 × 1 cm?
Advertisements
Solution
- The boundary of shape D = 5 cm + 5 cm + 5 cm + 5 cm = 20 cm
- There are 21 edges measuring 1 cm of shape ‘E’.
Hence, the boundary of shape ‘E’ = 1 cm x 21 = 21 cm - The boundary
= 1 cm + 1 cm + 1 cm + 1 cm = 4 cm
So, we can say the boundary of
= 4 × 1 cm.
APPEARS IN
RELATED QUESTIONS
Rahmat needs to find the length of the boundary of the field.

Can you find it from this picture? See the length of each side written near it.
Ganpat thanked Rahmat and started fencing his own field. But he needed to get more wire.

How long is the boundary of Ganpat’s field?
Here are pictures of some more fields. Find out which one has the longest boundary?

Boundary = ______ metre
Boundary = ______ metre
Boundary = ______ metre
Boundary = ______ metre
How much lace will be used in 3 such table cloths?
Find out the length of the boundary of these shapes. (Hint: You can use a thread)

Now count the squares to find out :
- How many squares are there in each shape?
- Which shape covers the least number of squares?
- Which shape covers the most number of squares?
Take a 20 centimetre long thread. Make different shapes by joining the ends. Place on the squared sheet on the next page.

find Out :
- How many squares are there in each shape?
- Which is the biggest shape?
- Which is the smallest shape?
- How long is the boundary of each shape?
A square has a boundary of 12 cm.
- From the corner of this square, a small square of side 1 cm is cut off. Will the boundary of B be less or more? Find its length.
- If you cut a 1 cm square to get shape C, what will be the length of the boundary of C?
![]() |
![]() |
![]() |
![]() |
| Square | New shape |
Usha and Valsamma are running a race. Usha is running on the inner circle. Valsamma is running on the outer circle.
- Valsamma runs faster than Usha. But still she loses the race. Can you guess why?
- Have you seen any race where runners start from different places – like in this picture? Guess why?
- How many Math-Magic books can be covered with one sheet of newspaper?
- Try covering your Math-Magic book with half a sheet of newspaper.
- Can you cover your book with a smaller sheet?
- Find the smallest sheet which can cover your book. Check if your friend used a smaller sheet than you.
Look at the picture. Can you divide it into 4 equal pieces? Each piece should have the same number of squares.





