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A map has a scale of 3 centimeters : 8 kilometers. If two cities are 11 centimeters apart on the map, what is the actual distance between the cities, to the nearest tenth of a kilometer? Explain how to find the answer.

 Oct 12, 2022
 #1
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1 - This means: every 3 cm on the map ==8 km on the ground. So, 1 cm on the map==8 / 3==2+2/3 km on the ground. Therefore, 11 cm on the map ==11 cm x 2+2/3 km/cm ==29 + 1/3 km - actual distance between the 2 cities.

 

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2 -  [11 cm / 3 cm] x 8 km /3 cm ==[3 + 2/3]  x  8 ==29+1/3 km - actual distance btween the two cities.

 Oct 12, 2022
 #2
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8km / 3cm   *  11 cm   =   29 1/3  cm     ( see how the units   cm   cancel out and you are left with 'km' ? 

 Oct 12, 2022
edited by ElectricPavlov  Oct 12, 2022

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