Question

In a scale drawing, the length of a rectangular room is 6 inches, and the width is 3 inches. the actual length of the room is 18 feet.

A What is the scale of the drawing.
B In a new scale drawing of the same room, the length of the room measures 4 inches. What is the scale of the new drawing? Explain

Answer 1

A. 1 : 36

B. 1 : 54

Explanation:

1 feet = 12 inches

A.

rasio = scaled length : actual length

= 6 inches : 18 feet

= 6 inches : (12 × 18) inches

= 6 : 216 ⇒ omit the units when both units are the same

= 1 : 36

B.

rasio = scaled length : actual length

= 4 inches : 18 feet

= 4 inches : (12 × 18) inches

= 4 : 216 ⇒ omit the units when both units are the same

= 1 : 54