Question

In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the diagram, the trees are 5 : 9 cm apart. How far apart should the actual trees be planted?

Answer 1

First, we need to convert the scale from centimeters to feet. Since 1 cm represents 10 ft, we can write:

1 cm/10 ft

To find how far apart the actual trees should be planted (in feet), we need to multiply the distance in the diagram (in centimeters) by the scale factor (in feet per centimeter). We can set up a proportion:

5 cm * (1 cm/10 ft) = x ft * (1 cm/9 cm)

Simplifying the units:

5/10 ft = x/9 cm

Cross-multiplying:

5 * 9 = 10 * x

x = 4.5 ft

Therefore, the actual trees should be planted 4.5 feet apart.

Answer 2

Is there another answer, there's no answer on the multiple choice.

Answer 3

The only other possible answer is if the distance between the trees is given as 9:5 cm instead of 5:9 cm. In that case, we would set up the proportion as:

9 cm * (1 cm/10 ft) = x ft * (1 cm/5 cm)

Simplifying the units:

9/10 ft = x/5 cm

Cross-multiplying:

9 * 5 = 10 * x

x = 4.5 ft

Therefore, if the distance between the trees is 9:5 cm instead of 5:9 cm, the actual trees should also be planted 4.5 feet apart.