That's true for any rectangle, not just a square. Here's why:
The original area of any rectangle is (original length) times (original width).
When you double the dimensions, the new area is (2 x original length) times (2 x original width).
You learned a long time ago that when you're multiplying numbers, it doesn't make any
difference what order they're arranged in. So we'll take that formula for the new area,
and rearrange it in a different order:
(2 x original length) times (2 x original width) = (2 x 2) times (original length x original width).
The stuff inside the first parentheses multiplies to give the number ' 4 '.
The second parentheses enclose (original length x original width), and that's just
the original area. So the new area is (4) times (original area).
Quod erat demonstrandum.
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The volume is Base x height; the Base area is the same as the formula for a circle - which is proportional to the square of the radius. For example, if you double the radius (or the diameter, or the circumference) of a circle, its area will quadruple.
almost non existent. Is someone playing with graphic design? That's to the ^16 isn't it?
That's very easy. The dimensions of a square with an area of A = 1 m² is 1 meter in length and 1 meter in width.
13cm*13cm =169 square cm.
The dimensions can be 4 units by 4 units