Question

The perimeters of 2 squares is 48 cm and 64 cm respectively and the difference between their areas is equal to the perimeter of the new square formed. Then what will be the side of the new square formed?
1. 28
2. 112
3. 78
4. 56

Answer 1

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.