The floorboard needed to cover 15 feet wide is 80 inches.
We have to find, How many floorboards 2-1/4 inches wide are needed to cover a floor 15 feet wide?
According to the question,
The floorboard is [tex]2\dfrac{1}{4} \[/tex] inches wide,
The floorboard needed to cover 15 feet wide,
To determine the floorboard needed to cover 15 feet wide following all the steps given below.
Firstly convert the floorboard 15 feet wide into inches,
[tex]\rm 15 \ feet \times 12 = 180 \ inches[/tex]
Therefore,
The floorboard needed to cover 15 feet wide is,
[tex]\rm The \ floorboard \ needed\ to\ cover\ 15 feet\ wide = \dfrac{180}{2\dfrac{1}{4}}\\\\The \ floorboard \ needed\ to\ cover\ 15 feet\ wide = \dfrac{180}{\dfrac{4\times2+1}{4}}\\\\ The \ floorboard \ needed\ to\ cover\ 15 feet\ wide = \dfrac{180}{\dfrac{9}{4}}\\\\The \ floorboard \ needed\ to\ cover\ 15 feet\ wide = \dfrac{180\times 4}{{9}}\\\\\\The \ floorboard \ needed\ to\ cover\ 15 feet\ wide = {20\times 4}\\\\[/tex]
[tex]\rm \\\\ The \ floorboard \ needed\ to\ cover\ 15 feet\ wide = 80 \inches[/tex]
Hence, The floorboard needed to cover 15 feet wide is 80 inches.
For more details refer to the link given below.
https://brainly.com/question/1529028
