Question

The side of a square is 5 cm. How many times does the area increase, if the side of the square is doubled?

Answer 1

Side of the square = 5 cm

∴ Area of the square = Side × Side

= 5 cm × 5 cm

= 25 cm²  ...(1)

Side of a new square = 2  ...(Side of the given square)

= 2 × 5 cm

= 10 cm

∴ Area of the new square = Side × Side

= 10 cm × 10 cm

= 100 cm²  ...(2)

Thus, (1) and (2) shows that the area will be increased by 4 times.