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The empire state building in New York city is about 1450 feet high including the antenna at the top and 400 feet wide. Andre wants to make a scale drawing of the front view of the empire state building on an 8 1/2 inch by 11 inch piece of paper. Select a scale that you think is the most appropriate for the scale drawing. Explain your reasoning.

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3 votes

Answer:

The scale drawing is 1 centimeter to 50 meters ⇒ answer E

Explanation:

* Lets explain how to solve the problem

- The height of the empire state building is about 1450 feet long and

400 feet wide

- Andre wants to make a scale drawing of the front view of it on an

8 1/2 inches by 11 inches piece of paper

- We need to select one of these scales that we think is the most

appropriate for the scale drawing

A. 1 inch to 1 foot

B. 1 inch to 100 feet

C. 1 inch to 1 mile

D. 1 centimeter to 1 meter

E. 1 centimeter to 50 meters

F. 1 centimeter to 1 kilometer

- For scale A , B , and D the scaled image will not fit the page

- For scale C and F the drawing will be very small because 1 mile

is 5280 feet and 1 kilometer is 3280.84 feet

- E is most appropriate because 1 meter is 3.28084 feet, then the

height of the empire state is 442 m dividing by 50 m gives about

8.8 cm and the height of the paper is 11 inches which is about 28 cm

and the width of the empire state is about 122 m dividing by 50 m

gives about 2.5 cm and the width of the paper is 8 1/2 inches which

is about 22 cm then the drawing will be appropriate for drawing

The scale drawing is 1 centimeter to 50 meters

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