Question

A gry is an old English measure for length, defined as 1/10 of a line, where line is another old English measure for length, defined as 1/12 inch. A common measure for length in the publishing business is a point, defined as 1/72 inch. What is an area of 0.16 gry2 in points squared?

Answer 1

Answer:

0.0576 points²

Explanation:

$1\ gry=\frac{1}{10}\ line$

$1\ line=\frac{1}{12}\ inch$

$\frac{1}{10}\ line=\frac{1}{10}\times \frac{1}{12}\ inch\\\Rightarrow \frac{1}{10}\ line=\frac{1}{120}\ inch$

$\therefore 1\ gry=\frac{1}{120}\ inch$

$1\ point=\frac{1}{72}\ inch\\\Rightarrow 72\ points=1\ inch$

$\\\Rightarrow \frac{1}{120}\ inch=\frac{1}{120}\times 72\ points$

$1\ gry=\frac{72}{120}\ point\\\Rightarrow 1\ gry=0.6\ point$

$0.16\ gry^2=0.6^2\times 0.16\\\Rightarrow 0.16\ gry^2=0.0576\ points^2$

∴ Area of 0.16 gry² is 0.0576 points²