Question

the school library was building a new one room addition the architect's drawing shown below uses the scale 1/8 in equals 1 ftusing the dimensions indicated on the drawing what is the total area of the new room

Answer 1

Convert the mixed numbers (room dimensions)

$\begin{gathered} 3\frac{3}{16}=3+\frac{3}{16}=\frac{51}{16} \\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4} \end{gathered}$

Use the scale to find the real dimensions

$\begin{gathered} \frac{51}{16}in\cdot\frac{1ft}{\frac{1}{8}in}=\frac{51}{2}ft \\ \frac{9}{4}in\cdot\frac{1ft}{\frac{1}{8}in}=18ft \end{gathered}$

Find the area

$\frac{51}{2}ft\cdot18ft=459ft^2$

The area is 459ft^2