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29.10.2020 •
Mathematics
The scale from a playground to this drawing is 5 ft to 1 cm. The scale from the same playground to a second drawing is 8 ft to 1 cm. What are the side lengths of the playground in the second scale drawing? Show your work.
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Ответ:
17,000,000 dm (real life distance in dm)
1700 km (real life distance in km)
Step-by-step explanation:
A scale of 1: 10,000,000 (10 million) means that "1" unit (dm) in map is "10,000,000" (dm) in real life.
Hence, the real distance between two cities in real life that is 1.7 dm on map would be:
1.7 * 10,000,000 = 17,000,000 dm (real life distance in dm)
To get the answer in km, we need to know the conversion between km(kilometers) and dm (decimeters).
we know 1 km = 10,000 dm
To get the answer in km, we divide by 10,000:
17,000,000/10,000 = 1700 km (real life distance in km)