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

0.0576 points²

Step-by-step explanation:

`1\ gry=(1)/(10)\ line`

`1\ line=(1)/(12)\ inch`

`(1)/(10)\ line=(1)/(10)* (1)/(12)\ inch\\\Rightarrow (1)/(10)\ line=(1)/(120)\ inch`

`\therefore 1\ gry=(1)/(120)\ inch`

`1\ point=(1)/(72)\ inch\\\Rightarrow 72\ points=1\ inch`

`\\\Rightarrow (1)/(120)\ inch=(1)/(120)* 72\ points`

`1\ gry=(72)/(120)\ point\\\Rightarrow 1\ gry=0.6\ point`

`0.16\ gry^2=0.6^2* 0.16\\\Rightarrow 0.16\ gry^2=0.0576\ points^2`

∴ Area of 0.16 gry² is 0.0576 points²