![]() For instance, the area of the aforementioned rectangle ABCD will be calculated by multiplying the. Surely the area of our rectangle is less than a half square inch. Knowing that areas shrink "faster" than side lengths, it will be obvious that on a square with a side length of $1$ grok and an area of $1$ grikk, when you reduce the side length the area has to shrink faster than the side length - same is true for a square with a side length of $42$ gruk and an area of $42$ grakk: the area will shrink faster than the side length. The formula varies from one shape to another as required. Let’s extend its sides and draw a square inch around it. Once you have that intuitive understanding, it will overrule your current understanding. And by shrinking the side by half you shrink the area to a quarter, regardless of units. What you need to intuitively understand is that by doubling the length of the side of a square, you get 4 times the area. ![]() ![]() It's all about presentation, not mathematical properties. The first assumption you make is that a square with a side of $1$ has an area of $1$ - that assumption is incorrect.Ī square with a side of $1000$ $m$ / $1$ $km$ / $0.001$ $Mm$ has an area of $1$ $km^2$, $1000000$ $m^2$, or $0.000001$ $Mm^2$ (square-Mega-meters), depending on how you chose to present it. ![]()
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