the perimeter of a square and a rectangle is the same. if the rectangle is 12 cms. by 10 cms., then by what percentage is the area of the square more than that of the rectangle?
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Perimeter of Rectangle = 2(l+b)
Perimeter of Rectangle = 2(12+10)
Perimeter of Rectangle = 2(22)
Perimeter of Rectangle = 44cms
Perimeter is Square = 4 × side
44 = 4 × side
side = 44/4
side = 11cms
Area of Square = side × side
Square is Square = 11 × 11
Area is Square = 121cm²
Area of Rectangle = length × breadth
Area of Rectangle = 12 × 10
Area of Rectangle = 120cm²
Area of Square exceeds(is more than) Area of Rectangle by 1cm²
Percentage = (1/120) × 100 = 0.83%
Thus the Area of Square exceeds the Area of Rectangle by 0.83%
Perimeter of Rectangle = 2(12+10)
Perimeter of Rectangle = 2(22)
Perimeter of Rectangle = 44cms
Perimeter is Square = 4 × side
44 = 4 × side
side = 44/4
side = 11cms
Area of Square = side × side
Square is Square = 11 × 11
Area is Square = 121cm²
Area of Rectangle = length × breadth
Area of Rectangle = 12 × 10
Area of Rectangle = 120cm²
Area of Square exceeds(is more than) Area of Rectangle by 1cm²
Percentage = (1/120) × 100 = 0.83%
Thus the Area of Square exceeds the Area of Rectangle by 0.83%
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Step-by-step explanation:
0.83% is ur answer mate..........
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