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(3)/(16)=3+(3)/(16)=(51)/(16) \\ 2(1)/(4)=2+(1)/(4)=(9)/(4) \end{gathered}`

Use the scale to find the real dimensions

`\begin{gathered} (51)/(16)in\cdot(1ft)/((1)/(8)in)=(51)/(2)ft \\ (9)/(4)in\cdot(1ft)/((1)/(8)in)=18ft \end{gathered}`

Find the area

`(51)/(2)ft\cdot18ft=459ft^2`

The area is 459ft^2