Home / A cartographer is calculating the area of a lake using pixel counting from a satellite image with 0.2-meter resolution. The lake covers 25,000 pixels. What is the area of the lake in square kilometers?
Related Articles A cartographer is projecting a cylindrical map of longitude and latitude using the Mercator projection. If the true width of a region between 0° and 6° east longitude is 420 kilometers, and the map scale at the equator is 1:10,000,000, what is the width of this region on the map in centimeters? Actual distance = 420 km = 420,000 meters. Scale: 1 cm = 10,000 meters, so map width = 420,000 ÷ 10,000 = <<420000/10000=42>>42 cm. Each pixel is 0.2 meters, so area per pixel = 0.2 × 0.2 = <<0.2*0.2=0.04>>0.04 m². Total area = 25,000 × 0.04 = <<25000*0.04=1000>>1,000 m². Convert to km²: 1,000 ÷ 1,000,000 = <<1000/1000000=0.001>>0.001 km². Top
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