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Q: Why does the greatest area equal the greatest perimeter?

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The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.

Perimeter = 40cm. Area = 100cm2

The area of a square is equal to twice the square's perimeter.

. What is the greatest area possible enclosed by a quadrilateral with a perimeter of 24 feet?

The greatest area is 10000 square yards.

The square is.

It's greatest possible perimeter: 1+39+1+39 = 80 feet

A square will. The only shape that can enclose more area with the same perimeter is a circle.

Perimeter:20 inches Area:35

90.25 ft2

A square.

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)

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