Question

On a scale drawing, \[\dfrac{1}{4}inch=1foot\]. What are the dimensions on the scale for a room that is 27 feet by 20 feet?

Answer 1

Hint: In this problem, we have to find the dimensions on the scale for a room that is 27 feet by 20 feet. We know that we are given \[\dfrac{1}{4}inch=1foot\], we can now find the feet for the given measurement by substituting the measurements in the given unit conversion \[\dfrac{1}{4}inch=1foot\], we can then solve them by dividing the steps using multiplication tables to find the required dimensions for the room. We can then write them, which will be the answer.

Complete step by step answer:
Here we have to find the dimensions on the scale for a room that is 27 feet by 20 feet.
We are given that \[\dfrac{1}{4}inch=1foot\],
We can now find the given measurement 27 feet in the inch scale, we get
\[\Rightarrow \dfrac{27}{4}inches=6.75feet\]
We can now find the given measurement 20 feet in the inch scale, we get
\[\Rightarrow \dfrac{20}{4}inches=5feet\]
Therefore, the required dimensions are 6.75feet and 5feet.

Note: We should always remember some of the unit conversion formulas such as \[\dfrac{1}{4}inch=1foot\], which is given in this problem, here we have just substituted the given measurements in this formula to get the required dimensions needed to set up a room. We should also know how to divide using the tables and sometimes we may also get decimal numbers, which will be the required answer.