On a map, 1cm represent 5km. Find the area on the map that represents 100km2.
Question 1 Report
On a map, 1cm represent 5km. Find the area on the map that represents 100km2.
Answer Details
If 1cm represents 5km on the map, then x cm will represent 100km2 on the map. To find x, we can use the formula for area of a square, which is A = s2. In this case, we want to solve for s, where A = 100 and s represents the side length on the map in centimeters. So, s2 = A s2 = 100 s = √100 s = 10cm Therefore, 10cm on the map represents 100km2 on the ground. To find the area on the map that represents 100km2, we need to find the area of a square with a side length of 10cm. Area = s2 Area = 10cm x 10cm Area = 100cm2 So, the area on the map that represents 100km2 is 100cm2, which is equal to 1cm x 1cm, 4cm2, or.
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