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xeze [42]
4 years ago
6

The corresponding sides of two similar rectangles are 6 ft and 10 ft. The area of the smaller rectangle is 78 ft2. To the neares

t whole number, what is the area of the larger rectangle?
Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
3 0
We know one side of the smaller rectangle, 6ft. Therefore the longer side is 78/6 ft = 13ft.

The ratio of small to large side is 6:10, so the larger rectangles other length is (13 / 6) * 10 ft = 21.666... ft.

Thus the area of the larger rectangle is 21.666... * 10 = 216.666... ft^2, and hence to the nearest whole number it is 217 ft^2
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Set up and solve the following using dimensional analysis.
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      (See explanation at the bottom)

         =      (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

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Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch).  Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out.  When you're done, if you did it correctly, the last unit you end up with will be the one you want.      
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