# Answer to Question #42340 in Geometry for cole

Question #42340

how would the perimeter be affected if the sides of the rectangles were increased a factor of k ?

Expert's answer

Let we have a rectangle with the sides "x" and "y". The perimeter of this rectangle is x+x+y+y=2(x+y).

If we increase the sides "x" and "y" in k times (increase by factor of k) we obtain that the sides of the new rectangle is "kx" and "ky". So perimeter of the new rectangle is: 2kx+2ky=2k*(x+y).

If we increase the sides "x" and "y" in k times (increase by factor of k) we obtain that the sides of the new rectangle is "kx" and "ky". So perimeter of the new rectangle is: 2kx+2ky=2k*(x+y).

**Answer.**Perimeter will increase by factor of k.Need a fast expert's response?

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