The side of a 10 m long square was reduced by 10%. How many percent has the perimeter of the square decreased?
July 26, 2021 | education
| Let’s calculate the perimeter of the square before decreasing. Let’s multiply its side to decrease – 10 meters by 4:
4 * 10 = 40 meters.
The perimeter of the square before reduction is 40 meters.
Let’s calculate the length of the side of the square after decreasing.
10 * 0.9 = 9 meters.
After reduction, the length of the side of the square became 9 meters
Let’s calculate the perimeter of the square after reducing its side:
9 * 4 = 36 meters.
40 – 36 = 4 meters.
40 -100%,
4 – x%.
x = 4 * 100: 40 = 10%.
Answer: after reducing the side by 10%, the perimeter of the square has decreased by 10%.
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