Question

Find the rule which gives the number of matchsticks required to make the following matchsticks pattern Use a variable to write the rule: A pattern of letter $A$ as $A$ .

Answer 1

Hint: In this question, we have to find a rule by which we can find the number of matchsticks required to construct a letter $A$ .
So, for this first we will construct a letter $A$ using matchsticks and then count the number of matchsticks used to construct that letter.
And then, we will generalize that pattern.
So, in this way, we can have the rule to find the number of matchsticks used to make the letter $A$ .

Complete answer:
We are given a letter $A$ , which we have to construct using matchsticks.
We have to find the rule by which we can find the number of matchsticks used to draw the letter $A$ .
Now, first we will construct the letter $A$ , using matchsticks.

We required total of six matchsticks to construct the letter $A$ only once.
This means for constructing the letter $A$ two times we will need total $6 \times 2 = 12$ matchsticks.
Similarly, for constructing the letter $A$ three times we need total $6 \times 3 = 18$ matchsticks and so on.
Hence, if we have to construct the letter $A$ , $n$ times, then we will need total $6 \times n = 6n$ matchsticks.
Therefore, the rule to find number matchsticks required to construct a letter $A$ is $6n$ .

Note: The rule is basically the Number of matchsticks used to construct a letter times the Numbers of times the letter has to be drawn.
This rule is helpful if we are given more than one number of letters and we have to find the number of matchsticks used in that.
The rule depends on how we construct the letter, for example, the letter $A$ can be constructed using five matchsticks also, then, the rule would be $5n$ .
We can construct any letter using matchsticks; hence, we can find the rule for the number of matchsticks for any letter.