if the side of a square is tripled, how many times the perimeter of the first square will that of the new square be? solution
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Answer:
3 times the perimeter of the first square will that of the new square.
Step-by-step explanation:
Let a square with the side of length 'a' units,
As sides of square are equal,
Perimeter of the square = side + side + side + side
Perimeter of the square = 4 side
Thus,
Perimeter of the square, with original side = 4 x a = 4a units
When side of square is tripled( three times of the original ),
Perimeter of the square = 4 x ( 3 times of a units )
Perimeter of the square = 4 x 3 x a units
Perimeter of the square = 12 a units
Hence,
Perimeter of the square is increased by ( 12 a / 4 a ) or 3 times of the original perimeter.
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