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Calculating Area on Topographic Maps

Calculating Area on Topographic Maps. Area of a Square. Formula Area = Length x Width. Calculating the area of an even boundary. A map with a scale of 1:50 000. The length of this map is 5cm and the width is 3cm. Calculate the area represented by the map.

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Calculating Area on Topographic Maps

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  1. Calculating Area on Topographic Maps

  2. Area of a Square • Formula • Area = Length x Width

  3. Calculating the area of an even boundary • A map with a scale of 1:50 000. The length of this map is 5cm and the width is 3cm. Calculate the area represented by the map. • Convert the length and width into what they represent in reality before using the formula*. • Scale 1:50 000 - therefore each cm on the map represents 0.5 km in reality • Length: 5cm x 0.5 km = 2.5kmWidth: 3cm x 0.5 km = 1.5 km • Area = Length x Width = 2.5km x 1.5km = 3.75 sq. km

  4. Calculating the area of an uneven boundary • Calculate the area of Klinger Lake.

  5. How to do it… Step 1: Work out the area of one grid square on the map. • Scale of this map: 1:50 000, therefore each cm represents 0.5km • Length: 2cm x 0.5km = 1.0km • Width: 2cm X 0.5 km = 1.0km • Area of One Grid Square = 1.0km x 1.0km = 1.0 sq. km Step 2: Determine the number of squares that the object occupies. • Klinger Lake occupies a total of about 0.5 of a grid square. Step 3: Multiply the number of grid squares that the object occupies by the area of one grid square. • Hence, 0.5 of a square x 1.0 sq. km = 0.5 sq. km which is the area of Klinger Lake.

  6. Another way to do it… • Calculate the area of the built up portion of the city (i.e. the pink shaded area).

  7. Working with Percentages… Step 1: Work out the area of one grid square on the map. • It is the same as the previous map: 1.0 sq.km. Step 2: Determine the number of squares that the object occupies. • In this situation, one could go from grid square to grid square determing how much the built up area occupies each square.i.e. 0.1 of a grid square (5866) + 0.4 (5966) + 0.7 (5967) + 0.7 (6067) + 0.03 (5868) + 0.5 (5968) + 1.0 (6068) + 0.25 (6168) + 0.2 (5869) + 0.6 (5969) + 1.0 (6069) + 0.85 (6169) + 0.2 (6269) + 0.8 (6070) + 0.85 (6170) + 0.2 (6270) + 0.2 (6071) + 0.4 (6171) = 8.98 squares Step 3: Multiply the number of grid squares that the object occupies by the area of one grid square. • Hence, 8.98 squares x 1.0 sq.km = 8.98 sq. km which is the area of downtown St. John's.

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