How many times will the perimeter of a rectangle increase, if its length is 3 times its width, if its length is increased by 9 times, and its width by 5 times?
Take the x width of the rectangle, then its length will be 3x.
Let’s find the perimeter.
(x + 3x) * 2 = 2x + 6x = 8x.
In the enlarged rectangle, the width will be 5x and the length (3x * 9).
We will also find its perimeter.
(5x + 3x * 9) * 2 = (5x + 27x) * 2 = 32x * 2 = 64x.
Now we will find out how many times the perimeter will increase.
64x: 8x = 8.
Answer: The perimeter of the rectangle will increase by 8 times.
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