Correct Answer - Option 1 : 28
GIVEN:
The perimeter of 1st Square = 48 cm
The perimeter of 2nd Square = 64 cm
FORMULAE USED:
Area of Square = side2
CALCULATION:
Side of 1st square = 48/4 = 12 cm
Area of 1st square = 12 × 12 = 144 cm2
Side of 2nd square = 64/4 = 16 cm
Area of 2nd square = 16 × 16 = 256 cm2
Difference between areas = 256 - 144 = 112 cm2
Perimeter of the new square = 112 cm
Side of the new square = 112/4 = 28 cm
∴ The side of the new square formed will be 28 cm.