Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
(a) A pattern of letter $ T $ as
(b) A pattern of letter $ \mathrm{Z} $ as
(c) A pattern of letter $ \mathrm{U} $ as
(d) A pattern of letter $ \mathrm{V} $ as
(e) A pattern of letter $ \mathrm{E} $ as
(f) A pattern of letter $ S $ as
(g) A pattern of letter A as "

AcademicMathematicsNCERTClass 6

To do:

We have to find the rule which gives the number of matchsticks required to make the given matchstick patterns.

Solution:

(a) A pattern of letter \( T \) as 


From the figure, we observe that two matchsticks are required to make the letter T.

Therefore, the required pattern is $2n$.

(b) A pattern of letter \( \mathrm{Z} \) as 


From the figure, we observe that three matchsticks are required to make the letter Z.

Therefore, the required pattern is $3n$.

(c) A pattern of letter \( \mathrm{U} \) as 

From the figure, we observe that three matchsticks are required to make the letter .

Therefore, the required pattern is $3n$.

(d) A pattern of letter \( \mathrm{V} \) as 

From the figure, we observe that two matchsticks are required to make the letter V.

Therefore, the required pattern is $2n$.

(e) A pattern of letter \( \mathrm{E} \) as 

From the figure, we observe that five matchsticks are required to make the letter E.

Therefore, the required pattern is $5n$.

(f) A pattern of letter \( S \) as 

From the figure, we observe that five matchsticks are required to make the letter .

Therefore, the required pattern is $5n$.

(g) A pattern of letter A as 

From the figure, we observe that six matchsticks are required to make the letter .

Therefore, the required pattern is $6n$.

raja
Updated on 10-Oct-2022 13:36:34

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