Q: How does tripling the side lengths of a rectangle affect its perimeter?

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The perimeter is doubled.

quadruples it

Well its lw=a so quadrupling it would make it (L4)W=A or lw4

No it does not

Doubling the width of a rectangular rug will affect the perimeter because the total length and width will be doubled. The area will be twice the length times the width.

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It triples the perimeter.

The perimeter changes and doubles as well.

Both the side lengths and the perimeter are linear measurements, therefore they are proportional. In other words, twice the side length results in twice the perimeter.

The perimeter is doubled.

quadruples it

If the length of each side is doubled, then the perimeter is also doubled.

Well its lw=a so quadrupling it would make it (L4)W=A or lw4

No it does not

Suppose a rectangle has a base x and a side y. The equation for the area A of a rectangle is A=x*y. Quadrupling both side and base means both are now 4x and 4y. Now, the new area, which I shall call A' will be described by the formula A'=4x*4y, which turns into A'=16xy. In the end, the new area is equal to sixteen times the original area. Try it with any possible combination of numbers, should always give sixteen times the original area, as long as you are only quadrupling the original lengths.

Melt water

Doubling the width of a rectangular rug will affect the perimeter because the total length and width will be doubled. The area will be twice the length times the width.

rectangle area is width x height so if each side quadruples area changes by 16