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 = side^{2}

**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 cm^{2}

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.