Question

Number of matchsticks are required to make $10$ squares:

• A. $31$
• B. $20$
• C. $33$
• D. $32$

Answer 1

The correct option is A $31$

We can determine a pattern from the image to find the number of matchsticks required for making a fixed number of squares.

From the image, we can see the after the $1st$ square (which need $4$ matchsticks) we need only $3$ matchsticks to make another square.

So for making $10$ squares, we need:

$4+3\times 9=4+27=31$ matchsticks.