Width of the miniature model = [tex]3\frac{3}{4}[/tex] inches
Length of the miniature model = [tex]5\frac{1}{2}[/tex] inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual
[tex]$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x[/tex]
[tex]$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x[/tex]
[tex]$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}[/tex]
Do cross multiplication.
[tex]$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}[/tex]
[tex]$\Rightarrow{\frac{15}{4}x =\frac{165}{2}[/tex]
[tex]$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}[/tex]
⇒ x = 22
Hence the actual length of the boat is 22 feet.
