Question

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 0.50gry²in points squared (points²)

Short answer

Answer

The area of 0.50gry² in is 0.18 points².

Step-by-step solution

Given data

The conversion factors given here are listed below:

$$\begin{gathered} \text{1gry=}\frac{1}{10}\text{line} \\ \text{1line=}\frac{1}{12}\text{inch} \\ \text{1point=}\frac{1}{72}\text{inch} \\ \text{1inch=72points} \end{gathered}$$

Understanding the conversion factors

Every measurement can be attributed to different units. Such units may be converted between them using a conversion factor.

Calculate the conversion factor for gry to points using the given information in step 1.

Therefore,

$$\begin{gathered} {\text{1gry}}^2\text{=}\left[\frac{1}{10}\text{line×}\frac{1}{1line}\text{×}\frac{1}{12}\text{inch×}\frac{1}{1inch}\text{i×72points} \\ \right]\text{...(i)} \\ =0.36point{s}^2 \\ {\text{Thus,1gry}}^2\text{isequivalentto}0.36point{s}^2\text{.} \end{gathered}$$

Determination of the area in points2.

Use the conversion factor in equation (i) to convert the area from gry² to point².

$$\begin{gathered} {\text{0.50gry}}^2{\text{=0.50gry}}^2\text{×}\frac{0.36point{s}^2}{1gr{y}^2} \\ {\text{=0.18points}}^2 \end{gathered}$$

Thus, 0.50 gry² is equivalent to $0.18{\mathrm{points}}^2$.