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- A cartographer is designing a map with a scale of 1:50,000, where 1 cm on the map represents 500 meters in reality. If a river segment measures 7.4 cm on the map, what is the actual length of the river in kilometers?
- The scale is 1 cm = 500 m, so 7.4 cm = 7.4 × 500 = <<7.4*500=3700>>3,700 meters.
- A cartographer is analyzing satellite imagery with a resolution of 0.5 meters per pixel. If a forested region covers 3,200 pixels in width and 4,800 pixels in height on the image, what is the actual area of the forest in square kilometers?
- Each pixel represents 0.5 meters, so width = 3,200 × 0.5 = <<3200*0.5=1600>>1,600 meters.
- Height = 4,800 × 0.5 = <<4800*0.5=2400>>2,400 meters.
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