How many matchsticks are needed to make 5 squares if to make a square 4 matchsticks are needed, to make 2 squares 8 matchsticks are needed, to make 3 squares 12 matchsticks are needed and so on?

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Solution

The correct option is A 20
As given in the question, we can write as

1 square need $4 \times 1$ = 4 matchsticks
2 squares need $4 \times 2$ = 8 matchsticks
3 squares need $4 \times 3$ = 12 matchsticks
4 squares need $4 \times 4$ = 16 matchsticks
. .
. .
. .
. .
. .
n squares need $4 \times (n)$ = 4n matchsticks

$∴$ Matchsticks needed to make 5 squares is
$= 4 \times 5$
$= 20$

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