Question

The side of a square is 10cm. How many times will the new perimeter become if

the side of the square is doubled.

A) 2 times B)4 times C) 6 times D) 8 times​

Answer 1

Given:

• Side of a square is 10 cm.

To find:

• Number of times the new perimeter will increase if  the side of the square is doubled.

Solution:

Original perimeter:

Side (s) = 10 cm

Perimeter of square = 4s

Perimeter of square = 4×10

$\boxed {\sf {\red {Perimeter\ of\ square = 40\ cm}}}$

New perimeter:

Side of the square is doubled.

Side = 10×2

Side = 20 cm

New perimeter of square = 4s

New perimeter of square = 4×20

$\boxed {\sf {\pink {New\ perimeter\ of\ square = 80\ cm}}}$

Now, number of times new perimeter has become when the side of the square is doubled:

⇒ $\sf \dfrac{New\ Perimeter}{Original\ Perimeter}$

⇒ $\sf \dfrac{80}{40}$ = 2

Final answer:

New perimeter of the square will become 2 times more than the original perimeter, if the side is doubled.

Therefore, option a) 2 times is the correct answer.