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1)Why you cannot always add two numbers that have the same dimensions? Example?
huh what? This is what we call a badly written question. :)
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2)Is it possible for two quantities to have the same dimensions but different units?
I suppose what they mean is:
Is three meters equal to three feet? Or something like that.
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3) Is it possible for two quantities to have the same units but different dimensions?
Huh what? Who writes these things? How do they define "dimensions" and "units"? These terms are openly ambiguous.
I suppose they are asking:
Can you have something that is five feet and something that is three feet?
Well, yes...
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4) Considering the fact that 3.28 ft=1m, which is the larger unit for measuring area, 1 ft2 or 1m2?
Finally something a bit more clear. Since a square foot is one foot*one foot and a square meter is one meter*one meter, and a meter is longer than a foot, than a square meter is larger than a square foot.
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5)Consider a 1330-ft2 apartment.With your answer to part (a) in mind and without doing any calculations, decide whether this apartment has an area that is greater or less than 1,330 m2.
Yeah, well, since a square foot is smaller than a square meter, then 1330 square feet is less than 1330 square meters...
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6)In a 1,330-ft2, how many square meters of area are there?Does this support in part 4 and 5?
Number crunching time. (sqrt(1330)/(3.28))^2
Best of luck,
~psi42