Question

A scale drawing of a soccer field is 6 inches long. The actual soccer field is 300 feet long. Which of the following represents the scale factor of the drawing? Hint: 12 in = 1 ft
Group of answer choices

1in : 600ft

6in : 3600ft

1in : 50ft

6in : 300ft

Answer 1

Answer:     IT IS BBBB

Step-by-step explanation:

In the figure attached, the complete question is shown.

Originally the scale is 1 inch: 12 yards, the width is 6 inches, that is, 6*12 = 72 yards, and the length is 9 yards, that is, 9*12 = 108 yards

If the scale is 1 inch: 36 yards, then 72 yards are:

1 inch / x inches = 36 yards / 72 yards

x = 72/36 = 2 inches

which represents the new width.

And 108 yards are:

1 inch / x inches = 36 yards / 108 yards

x = 108/36 = 3 inches

which represents the new length.

Answer 2

Answer:

1in : 50ft

6in : 300ft

Step-by-step explanation:

Scaling

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. For example, we can use scaling when representing geographic locations or dimensions on a map.

The soccer field is represented by a drawing that is 6 inches long, and the actual soccer field is 300 feet long.

To calculate the scale factor, we divide the actual dimension by the scaled dimension:

$\displaystyle factor=\frac{300 \ ft}{6\ in}$

Dividing:

factor = 50 ft/in

This means each inch of the drawing represents 50 ft of the actual field, thus the scale factor is 1 in:50 ft.

If we hadn't divided, the scale factor would be 6 in:300 ft, thus there are two correct choices:

1in : 50ft

6in : 300ft