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?
It is given in the question that,
Length of the rectangle = 40 cm
Breadth of the rectangle = 22 cm
According to question,
Perimeter of rectangle = Perimeter of square
2 (Length + Breadth) = 4 × Side
2 (40 + 22) = 4 × Side
2 × 62 = 4 × Side
124 = 4 × Side
∴ Side = 124/4
= 31 cm
Area of rectangle = Length × Breadth
= 40 × 22
= 880 cm2
Area of square = (Side)2
= 31 × 31
= 961 cm2
Thus, it is clear that, the square shaped wire encloses more area