Question

A model of an apartment is shown below where 1/4 inch represents 4 feet in the actual apartment. Use a ruler to measure the drawing and find the actual length and width of the bedroom.

Answer 1

Given:

length on scale drawing = 2.5 in or 5/2 in

width on scale drawing = 1.5 in or 3/2 in

The relationship between the actual measurement (in ft) and the scale measurement is given to be:

$\frac{1}{4}\text{ in repr}esents\text{ 4ft}$

Hence, the actual length would be:

$\begin{gathered} =\text{ }\frac{5}{2}\text{ in }\times\frac{4ft}{\frac{1}{4}\text{ in}} \\ =\text{ }\frac{5}{2}\text{ }\times16\text{ ft} \\ =\text{ 40 ft} \end{gathered}$

The actual width would be:

$\begin{gathered} =\text{ }\frac{3}{2}\text{ in }\times\text{ }\frac{4ft}{\frac{1}{4}\text{ in}} \\ =\text{ }\frac{3}{2}\text{ }\times\text{ 16 ft} \\ =\text{ 24 ft} \end{gathered}$

Hence, the actual length and width of the bedroom are 40 ft and 24 ft respectively

Answer:

length = 40 ft

width = 24 ft