A standard piece of paper is 8.5 inches by 11 inches. A piece of legal-size paper is 8.5 inches by 14 inches. By what scale factor k would you need to dilate the standard paper so that you could fit two pages on a single piece of legal paper?

beljuA

beljuA

Answered question

2020-12-25

A standard piece of paper is 8.5 inches by 11 inches. A piece of legal-size paper is 8.5 inches by 14 inches. By what scale factor k would you need to dilate the standard paper so that you could fit two pages on a single piece of legal paper?

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2020-12-26Added 100 answers

You would need the breadth of the length of the legal paper to match the width of the ordinary paper. The ratio of the width of the legal paper to the length of the standard paper must therefore be the scaling factor: k=8.511=1722
We multiply the scale factor by two times the width of the standard paper to see if the widths of the two dilated standard papers fit along the length of the legal paper:
2(1722)(8.5)13.1.<14
So, the two pages will fit for this value of k.

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