Fernando measured an office building and made a scale drawing. The scale he used was 2 inches : 3 feet. A desk is 6 feet long in real life. How long is the desk in the drawing?

Answer :

To determine the length of the desk in the drawing you have to use the scale Fernando used.

In his drawing, 2in represents 3ft in real life.

To determine the length of a desk that has a length of 6ft in real life, you can apply cross multiplication:

3ft → 2in

6ft → xin

Both relationships are at the same ratio so that:

[tex]\frac{2}{3}=\frac{x}{6}[/tex]

Multiply both sides by 6 to determine the value of x:

[tex]\begin{gathered} 6\cdot\frac{2}{3}=6\cdot\frac{x}{6} \\ 4=x \end{gathered}[/tex]

The desk's length on the drawing should be 4 inches long