a wire is in the shape of a rectangle whose length is 45cm and breadth 25cm. if the same wire is rebent in the shape of a square what will be the measure of each side. also find which shape enclose more area.
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Length of rectangle= 45 cm
Width of rectangle= 25 cm
Area of rectangle = 45 × 25 cm^2
= 1125 cm^2
Perimeter of rectangle= 2 ( 45 + 25 )
= 2× 70
= 140
Perimeter of square = Perimeter of rectangle
=> 4 × a = 140
=> a = 35
Side of square = 35 cm
Area of square = 35 × 35 cm^2
= 1225 cm^2
Square enclose more area
Width of rectangle= 25 cm
Area of rectangle = 45 × 25 cm^2
= 1125 cm^2
Perimeter of rectangle= 2 ( 45 + 25 )
= 2× 70
= 140
Perimeter of square = Perimeter of rectangle
=> 4 × a = 140
=> a = 35
Side of square = 35 cm
Area of square = 35 × 35 cm^2
= 1225 cm^2
Square enclose more area
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