Question

2 ft 9 in / 4 ft 7 in = 2.4 cm / x

Answer 1

Given:

`\frac{2ft\text{ }9in}{4ft\text{ }7in}=(2.4cm)/(x)`

To solve for x, we take the units to the same quantity.

Converting all units to centimeters,

`\begin{gathered} 1ft=30.48cm \\ 1in=2.54cm \\ \\ Hence, \\ 2ft\text{ }9in=2(30.48)+9(2.54)=60.96+22.86 \\ 2ft\text{ }9in=83.82cm \\ \\ \\ Also, \\ 4ft\text{ }7in=4(30.48)+7(2.54)=121.92+17.78 \\ 4ft\text{ }7in=139.7cm \end{gathered}`

Hence:

`\begin{gathered} \frac{2ft\text{ }9in}{4ft\text{ }7in}=(2.4cm)/(x) \\ (83.82cm)/(139.7cm)=(2.4cm)/(x) \\ \\ Cross\text{ multiplying the equation:} \\ 83.82* x=139.7*2.4 \\ x=(139.7*2.4)/(83.82) \\ x=(335.28)/(83.82) \\ x=4cm \end{gathered}`

Therefore, x = 4cm