1) the scale of map is 1:1000 .what is the area ,in cmsquare,on the map of a lake of area 5,000msquare?
2)the scale of a map is 1cm to 5km .a farm is represented by a rectangle measuring 1.5 cm by 4cm. what is the actual area of the farm
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answer
answer
answer-150km^2
1.5 x 4 + 6cm^2
6cm^2 is also 6cm x 1cm
1cm = 5km
6cm=5 x 6 =30km
5 x 30 + 150 km^2
Answer:
50 cm2
Step-by-step explanation:
1 : 1000
1m = 1000 ÷ 100 = 10 cm
1m2 = (10cm)2 = 100 cm2
1/100 m2 = 1 cm2
5000 m2 = 5000 ÷ 100 = 50 cm
To find the area on a map using a scale, you need to use the ratio of the scale. Here's how you can find the area on the map for each of the given questions:
1) The scale of the map is 1:1000, which means that 1 cm on the map represents 1000 cm (or 10 meters) in real life. The area of the lake is given as 5000 m².
To find the area on the map, you need to convert the real-life area into the same unit as the scale. In this case, since 1 cm on the map represents 10 meters, you need to convert 5000 m² into square centimeters.
Using the ratio, 10 meters on the map is represented by 1 cm. Therefore, 5000 square meters in real life would be represented by:
(5000 m²) / (10 m) * (1 cm) = 500 cm²
Therefore, the area of the lake on the map would be 500 cm².
2) The scale of the map is given as 1 cm to 5 km. This means that 1 cm on the map represents 5 km (or 5000 meters) in real life. The dimensions of the farm on the map are given as 1.5 cm by 4 cm.
To find the actual area of the farm, you need to convert the dimensions on the map into the corresponding dimensions in real life.
Using the ratio, 5 km (or 5000 meters) in real life is represented by 1 cm on the map. Therefore, the length of the farm in real life would be:
(1.5 cm) * (5000 meters) = 7500 meters
Similarly, the width of the farm in real life would be:
(4 cm) * (5000 meters) = 20000 meters
To find the actual area of the farm, you multiply the length and width:
7500 meters * 20000 meters = 150,000,000 square meters
Therefore, the actual area of the farm is 150,000,000 square meters.
Thanks
2+2=4
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CORRECTION:
A = 500,000 * 6cm^2 = 3,000,000cm^2
5km=5000m = 500,000cm.
1. A = 5000 / 1000 = 5cm^2.
2. Am = 1.5 * 4 = 6cm^2 on map.
A = 500,000 * 5cm^2 = 2,500,000cm^2 =
Area of farm.