Question

An architect represents a 9 inch height as 1/4 inch on a scale drawing.

Which of the following scales did the architect use?

1 foot = 1/2 inch
1 foot = 1/3 inch
1 foot = 1/36 inch
1 foot = 1/9 inch

Answer 1

9 in = 9/12 = 3/4 ft. On the drawing 3/4 ft is 1/4 in, so 1 ft = (1/4) ÷ (3/4) = 1/3 in.

Thus the scale is 1 foot = 1/3 inch.