Question

A polygon has vertices at (4, 1), (4,7), (10, 7) and (10, 1). How does the perimeter of

the polygon change if each coordinate is multiplied by 3?

Answer 1

Answer: The perimeter triples

The perimeter goes from 24 to 72

24*3 = 72

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Step-by-step explanation:

I recommend plotting the four points on the same xy grid system. Connect the points with segments to form a rectangle. This rectangle is also a square. You should find that each side of the square is 6 units long, so the perimeter is 4*6 = 24 units.

If we multiply each coordinate by 3, then that will make each side length 3 times longer than before. That means each side is now 6*3 = 18 units long. The perimeter is 4*18 = 72 units.

Note how the jump from 24 to 72 is "times 3". Therefore, the scale factor of 3 will make the new perimeter 3 times longer compared to the old perimeter.