In the scale used on a blueprint, 14
14
inch represents 3
3
feet. On the blueprint, what is the length of a room with an actual length of 24
24
feet.

Respuesta :

Answer:

On the scale 24 feet represents 62.06 feet.

Step-by-step explanation:

In the given  scale:

14 inch represents 3 feet

Now, covert both the parameter into same length parameter.

1 inch  =  0.08333  feet

⇒14  inch =  14  x 0.08333 = 1.16 feet

or, by conversion  14 inch = 1.16 ft

Hence, on the given scale, (14 inch = 1.16 ft ) represents 3 feet.

Let us assume that  24 feet represents k ft on the scale.

Then by RATIO OF PROPORTIONALITY:

[tex]\frac{1.16}{3}   = \frac{24}{k}  \implies k = \frac{24 \times 3}{1.16}  \\= 62.06[/tex]

Hence, on the scale 24 feet represents 62.06 feet.