Let perimeter of Square = Perimeter of Circle = Perimeter of Hexagon = Perimeter of Octagon = 264 cm Side of square =
264
4
= 66 cm Area of square = (66)2 = 4356 cm2 Radius of circle =
264×7
2×22
= 42 cm Area of circle =
22
7
×42×42 = 5544 cm2 Side of hexagon =
264
6
= 44 cm Area of hexagon = 6 ×
√3
4
×(44)2 = 5029.73 cm2 Side of octagon =
264
8
= 33 cm and Area of octagon of side (a) = 2a2(1+√2) here a = 33 cm ∴ Area = 2(33)2(1+√2) = 2 × 1089(1 + 1.414) = 5257.7 cm2 Decreasing order of area are Circle (5544) > Octagon (5257.7) > Hexagon (5029.73) > Square (4356)