6. A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side? Also find which shape encloses more area?
According to the question, we can conclude that the perimeter of the square is the same as the perimeter of the rectangle.
Length of the rectangle = 40 cm
Breadth of the square = 22 cm
Perimeter of the rectangle = Perimeter of the Square
2 (Length + Breadth) = 4 × side
2 (40 + 22) = 4 × side
2 (62) = 4 × side
124 = 4 × side
Side = 124/4
Side = 31 cm
Now, Area of the rectangle = (Length × Breadth)
= 40 × 22
= 880 cm2
Area of square = side2
= 961 cm2
Hence, Square shaped wire encloses more area.