Which correctly completes the following statement?
If the dimensions of a figure are multiplied by a scale factor of to produce a figure that
is similar to the original, then the perimeter is multiplied by and the area is
multiplied by .

When you scale the dimensions of a figure by a factor of , the perimeter increases by that same scale factor . This means if your original perimeter was , the new perimeter will be . Now, for the area, since area is a two-dimensional measurement, you’ll multiply by . So if the original area was , the new area becomes . Isn’t it splendid how scaling can transform shapes while preserving their ratios?

If you’re wondering why this happens, think of it like this: when you double the dimensions of a square, not only does each side become twice as long, but the space inside grows four times! This principle is not only fantastic for geometry but also is widely used in art, architecture, and design to maintain proportions while altering scale.