Answer: [tex]6\dfrac13\text{ inches.}[/tex]
Step-by-step explanation:
Given: Length in drawing = [tex]8\dfrac49\ \text{inches}[/tex]
[tex]=\dfrac{9\times8+4}{9}\text{ inches}\\\\=\dfrac{72+4}{9}\text{ inches}\\\\=\dfrac{76}{9}\text{ inches}[/tex]
Also, half inch on drawing = [tex]\dfrac38\ foot[/tex] actual length.
1 inch on drawing = [tex]2\times\dfrac38 =\dfrac34\ foot[/tex]
[tex]\dfrac{76}{9}\text{ inches}=\dfrac{76}{9}\times\dfrac{3}{4}\ foot\\\\=\dfrac{19}{3}\text{ inches}\\\\=6\dfrac13\text{ inches}[/tex]
The actual length of the surfboard = [tex]6\dfrac13\text{ inches.}[/tex]
