How many times will the perimeter of a square increase if its side is increased by 45%.
July 28, 2021 | education|
We denote the side of the square by A.
The perimeter of a square is equal to the sum of all its sides. We find this value:
A + A + A + A = 4A.
By condition, each side increased by 45%. Knowing that the percentage is one hundredth of the number, we first find the size of the side increase:
(A * 0.45) / 100 = 0.45A.
Find the side size:
A + 0.45A = 1.45A.
Find the perimeter of the new square:
1.45A + 1.45A + 1.45A + 1.45A + 5.8A.
We find how much the perimeter of the square has increased:
5.8A / 4A = 1.45.
Answer: The perimeter of the square has increased 1.45 times.
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