Question

Jennifer is making a scale drawing of a logo. The logo is 1/4 inch wide and 4 inches tall. If the scale drawing is 3 inches wide, how long is the scale drawing?

A) 3/16 inch
B) 1/2 inch
C) 6 inches
D) 12 inches

Answer 1

The length of the scale drawing is 1/4 inch.

Step-by-step explanation:

To find the length of the scale drawing, we can set up a proportion using the given information. The scale factor is 3 inches/1/4 inch. Let's set up the proportion:

1/4 inch / 4 inches = x / 3 inches

To solve for x, cross multiply:

(1/4)(3) = 4x

Simplifying the equation, we have:

3/4 = 4x

3x = 4/4

x = 1/4 inch

Therefore, the length of the scale drawing is 1/4 inch.