Given:
a.) A board is 10 feet 6 inches in length.
Let's determine the length of each segment with the board is divided into 9 equal segments.
Step 1: First, convert 10 feet 6 inches into one single unit of measurement. Let's convert it all into inches.
[tex]\text{ 10 (feet) x }\frac{12\text{ inches}}{1\text{ ( foot)}}\text{ = 10 x 12 = 120 inches}[/tex][tex]\text{ Total measure = 10 feet 6 inches = 120 inches + 6 inches = 126 inches}[/tex]
Step 2: Divide 126 inches by 9.
[tex]\text{ }\frac{126}{9}\text{ = }14\text{ = 14 inches}[/tex]
Therefore, each segment measures 14 inches.
In feet,
[tex]\text{ 14 (inches) x }\frac{\text{ 1 Foot}}{12\text{ (inches)}}\text{ = }\frac{14}{12}\text{ = 1}.167\text{ feet or 1 Foot 2 inches}[/tex]
The answer is 14 inches or 1 foot 2 inches.
