The area of a regular hexagon with a 24-inch perimeter is about 41.57 square inches.
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If it is a regular 6 sided hexagon then its perimeter is 6 times 12 = 72 inches
The area is 96*sqrt(3) = 166.3 sq inches, approx.
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Area = 2.598 sq inches, approx.
For any perimeter, the rectangle with the greatest area is a square.For a 16-inch perimeter, the greatest rectangular area is 16 square inches,inside a square with 4-inch sides.But if you don't necessarily need straight sides, then you can squeeze more areainside the same perimeter with a circle. A circle with a 16-inch circumference has anarea of 20.372 square inches.