Question

The original blueprint for the Morenos' livingroom has a scale of 2 inches = 5 feet. The familywants to use a new blueprint that shows thelength of the living room to be 15 inches. Ifthe width of the living room on the originalblueprint is 6 inches and the length is 9.6 inches,what are the scale and the width of the newblueprint?

Answer 1

Step 1

The original blueprint of the family has a scale of 2inches=5feet

The family wants to use a new blueprint that shows the length of the living room to be 15 inches.

Step 2

The width of the living room is

`(6)/(2)*5=15feet`

Hence, the length of the living room is

`(9.6)/(2)*5=24feet`

So the new scale is;

`\begin{gathered} (15)/(24)=(5)/(8) \\ ie\text{ 5inches=8f}eet \end{gathered}`

The width of the new print is;

`\begin{gathered} (6)/(2)*5=15feet \\ (15)/(8)*5=9.375inches \end{gathered}`

Hence the scale of the new print is; 5inches = 8feet

Width of new blue print=9.375inches