Question

from unit 1, lesson 12
for each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. not all of the scales on the list will be used.
objects
a. a person
b. a football field (120 yd by 53 1/3 yd)
c. the state of washington (about 240 mi by 360 mi)
d. the floor plan of a house
e. a rectangular farm (6 mi by 2 mi)
scales

• 1 in:1 ft
• 1 cm:1 m
• 1:1,000
• 1 ft:1 mile
• 1:100,000
• 1 mm:1 km
• 1:10,000,000

Explanation:

Step1: Consider size of a person

A person is usually a few feet tall. A scale of 1 in:1 ft would be appropriate as it can represent a person's height on a regular - sized paper.

Step2: Consider size of a football field

A football field is large. A scale of 1 cm:1 m would be suitable. 120 yd = 120×3 = 360 ft and 53$\frac{1}{3}$ yd=$\frac{160}{3}$×3 = 160 ft. Converting to meters and using 1 cm:1 m scale can fit it on paper.

Step3: Consider size of the state of Washington

The state of Washington is very large. A scale of 1:10,000,000 would be appropriate to represent it on a regular sheet of paper.

Step4: Consider size of a house floor - plan

A house is relatively small compared to a state or a football field. A scale of 1:1,000 can represent the floor - plan of a house well on a regular sheet of paper.

Step5: Consider size of a rectangular farm

A farm is large but not as large as a state. A scale of 1:100,000 would be appropriate to represent it on a regular sheet of paper.

Answer:

a. 1 in:1 ft
b. 1 cm:1 m
c. 1:10,000,000
d. 1:1,000
e. 1:100,000