Answered

The dimensions of a building are 200 meters by 140 meters. If one centimeter represents
20 meters on a scale architecture drawing, what are the dimensions of the building on the
drawing?
O 20 centimeters by 14 centimeters
O2 centimeters by 1.4 centimeters
O 10 centimeters by 7 centimeters
O None of the other answers are correct
O 4 centimeters by 2.8 centimeters



Answer :

GinnyAnswer
To solve this problem, we need to determine the scaled dimensions of the building on the architectural drawing. Here are the steps:

1. Understand the given measurements:
- The actual dimensions of the building are 200 meters in length and 140 meters in width.
- The scale factor indicates that 1 centimeter on the drawing represents 20 meters in reality.

2. Convert the real dimensions to the scale drawing dimensions:
- To find the scaled length, divide the actual length of the building by the scale factor:
[tex]\[ \text{Scaled Length} = \frac{\text{Real Length}}{\text{Scale Factor}} = \frac{200 \text{ meters}}{20 \text{ meters per centimeter}} = 10 \text{ centimeters} \][/tex]
- To find the scaled width, divide the actual width of the building by the scale factor:
[tex]\[ \text{Scaled Width} = \frac{\text{Real Width}}{\text{Scale Factor}} = \frac{140 \text{ meters}}{20 \text{ meters per centimeter}} = 7 \text{ centimeters} \][/tex]

3. Compare the calculated scaled dimensions with the given answer choices:
- The calculated dimensions are 10 centimeters by 7 centimeters.

So, the dimensions of the building on the drawing are 10 centimeters by 7 centimeters.

Thus, the correct answer is:
- O 10 centimeters by 7 centimeters

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