Question

A monospaced font is a font in which all characters are exactly of same width. A document uses a monospaced font for typesetting where each character is exactly 0.6 cm wide. A text line in this document contains only 10 words, where each word contains 6 characters. What is the length of the line in cm?
 

Hint:

In monospaced font problems, always multiply the number of characters by the width of each character, then add extra space for separation between words.

Answer 1

The problem requires calculating the total length of a text line in a document that uses a monospaced font where each character is exactly \(0.6 \, \text{cm}\) wide. The line contains 10 words, each consisting of 6 characters. 

Step 1: Understanding the problem Each word consists of \(6\) characters. There are \(10\) words in the line. Each character occupies a width of \(0.6 \, \text{cm}\). A space is present between each pair of words. Since there are \(10\) words, there will be \(9\) spaces in total. Each space also occupies \(0.6 \, \text{cm}\), as the font is monospaced.

Step 2: Calculating the total length of the line The total width contributed by the characters in the 10 words: \[ \text{Width of characters} = 10 \, (\text{words}) \times 6 \, (\text{characters per word}) \times 0.6 \, \text{cm} = 36 \, \text{cm}. \] The total width contributed by the spaces between the words: \[ \text{Width of spaces} = 9 \, (\text{spaces}) \times 0.6 \, \text{cm} = 5.4 \, \text{cm}. \] The total length of the line is the sum of the two contributions: \[ \text{Total length} = 36 \, \text{cm} + 5.4 \, \text{cm} = 41.4 \, \text{cm}. \] 

Conclusion The length of the text line in the document is: \[ \boxed{41.4 \, \text{cm}}. \]