Question

What is the least number of line segments that make exactly 100 squares?

Answer 1

the answer for this question is 10

Answer 2

Answer with explanation:

First Possibility

→→100 Squares in a Row Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

→→100 Squares in a Column Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

So, total number of line segments =101 +2=103

Second Possibility

If you draw 11 line segments of equal length in a column and 11 line segments in a row, you can draw 100 square of equal size.

So, total number of line segments =11+11=22