Question

2. If the side of a square is tripled, how many times the perimeter of the first square will that of the new square be? ​

Answer 1

Given :

• Original Side of the Square = S

To Find :

• Perimeter of Square if Side is Tripled

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SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Perimeter {\small_{(Square)}} = 4 \times Side }}}}}$

$\dag$ Calculating the Old Perimeter :

${\longmapsto{\qquad{\sf{ Perimeter = 4 \times Side }}}} \\ \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Perimeter = 4 \times s }}}} \\ \\ \\ \\ \ {\longmapsto \; {\pmb{\underline{\boxed{\orange{\sf{ Perimeter {\small_{(Old)}} = 4s }}}}}}}$

$\dag$ Calculating the New Perimeter :

${\dashrightarrow{\qquad{\sf{ Perimeter = 4 \times Side }}}} \\ \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Perimeter = 4 \times 3s }}}} \\ \\ \\ \\ \ {\dashrightarrow \; {\pmb{\underline{\boxed{\green{\sf{ Perimeter {\small_{(New)}} = 12s }}}}}}}$

$\therefore \;$ From the Above Calculating its clear that the new Perimeter will increase 3 times .

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Answer 2

According to question:-

Given:-

• Side of the square=s

To find:-

• The change in perimeter if the side is tripled.

Solution:-

Calculating perimeter before change

$\large\underline{\sf{Perimeter \: of \: square = 4 \times side}}$

$\large\underline{ \boxed{\sf{ \: \: \: \: \: \: \: \: \: \: \pink{ \maltese \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { 4s}}}}}$

Calculating when side is tripled:-

$\large\underline{\sf{Perimeter \: of \: square = 4 \times 3s}}$

$\large\underline{ \boxed{\sf{ \red{ \: \: \: \: \: \: \: \: \: \: \: \: \maltese \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12s}}}}$

Calculating change in perimeter:-

$\large\underline{ \boxed{\sf{ \frac{12s}{4s} }}}$

=>If side is tripled the perimeter will also be tripled.