Question

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.

Answer 1

On the scale 24 feet represents 62.06 feet.

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:

`(1.16)/(3)   = (24)/(k)  \implies k = (24 * 3)/(1.16)  \\= 62.06`

Hence, on the scale 24 feet represents 62.06 feet.