Question

If a 1-inch line is to represent an 8-foot line, draw line segments to represent the 12 ft, 20 ft, and 20 ft.

a. 1.5 inches, 2.5 inches, 2.5 inches
b. 2 inches, 3.33 inches, 3.33 inches
c. 3 inches, 5 inches, 5 inches
d. 4 inches, 6.67 inches, 6.67 inches

Answer 1

To represent a 12 ft line, the line segment should be 1.5 inches long. The line segments representing 20 ft and 20 ft should be 2.5 inches long.

Step-by-step explanation:

To represent a line 8 feet long, we are given that a 1-inch line represents an 8-foot line. Now, to represent a 12 ft line, we can set up a proportion:

1 inch / 8 feet = x inches / 12 feet

Cross multiplying, we get:

1 * 12 = 8 * x

x = 1.5 inches

Similarly, using the same method, we can determine the lengths of line segments that represent 20 ft and 20 ft:

For 20 ft: 1 inch / 8 feet = x inches / 20 feet. Solving this proportion, we get x = 2.5 inches

For the second 20 ft: 1 inch / 8 feet = x inches / 20 feet. Solving this proportion, we get x = 2.5 inches