Question

If 1/4 inch represents 1 foot, what distance is represented by a line of 2 inches?

a) 2 feet
b) 4 feet
c) 8 feet
d) 6 feet

Answer 1

To find the distance represented by a line of 2 inches using a 1/4 inch to 1 foot scale, we can set up a proportion and solve for the unknown distance. The answer is 8 feet.

Step-by-step explanation:

To find the distance represented by a line of 2 inches, we need to use the given scale: 1/4 inch represents 1 foot. Let's set up a proportion to solve for the unknown distance:

1/4 inch / 1 foot = 2 inches / x feet

First, cross-multiply:

1/4 * x = 1 * 2

Simplifying further:

x/4 = 2

Multiply both sides of the equation by 4 to isolate x:

x = 2 * 4

x = 8

Therefore, a line of 2 inches represents a distance of 8 feet (option c).