Question

A scale drawing of an NFL goalpost uses a scale of 2 inches = 5 feet. If the actual width of the goat post is 18 1/2 feet, what is the width of the goal post on the drawing ?

A) 7 1/5 inches
B) 7 2/5 inches
C) 7 3/5 inches
D) 7 4/5 inches

Answer 1

Using a scale of 2 inches = 5 feet, the width of an 18 1/2 feet NFL goal post on a drawing is calculated to be 7.4 inches, which is equivalent to 7 4/5 inches.

Step-by-step explanation:

To determine the width of the goal post on the drawing when using a scale of 2 inches = 5 feet, we can set up a proportion using the actual width of the NFL goal post, which is 18 1/2 feet. First, convert 18 1/2 feet to inches so it corresponds with the scale used in the drawing. There are 5 feet in 2 inches, so we have:

18.5 feet x (2 inches / 5 feet) = 7.4 inches.

Thus, the width of the goal post on the scale drawing is 7.4 inches, which matches option D) 7 4/5 inches.