Question

A scale drawing of a building is one foot to 1/4 inch. What is the actual length of the building if the scale drawing shows that it is 13 1/2 inches long? Show process please

Answer 1

$1\quad foot\quad :\quad \frac { 1 }{ 4 } \quad inch\\ \\ 4\quad \cdot \quad 1\quad foot\quad :\quad \frac { 1 }{ 4 } \quad inch\quad \cdot \quad 4\\ \\ 4\quad feet\quad :\quad 1\quad inch$

This means that:

$4\quad feet\quad :\quad 1\quad inch\\ \\ \frac { 27 }{ 2 } \cdot \quad 4\quad feet\quad :\quad \frac { 27 }{ 2 } \cdot \quad 1\quad inch\\ \\ \frac { 108 }{ 2 } \quad feet\quad :\quad \frac { 27 }{ 2 } \quad inches\\ \\ 54\quad feet\quad :\quad \frac { 27 }{ 2 } \quad inches$

13 + 1/2 inches is the same as 54 feet

Answer 2

1/4 inch __> 1 foot
27/2 inch---->?
27/2*/(1/4)
27/2*4
=54 feet