Calculate the boundary of the farm in kilometres as indicated in Figure 2 (farm's map scaleis 1:50 000) (3). 2.5cm 1.8 3.5cm 5cm 4cm

Question

Geography

Ean Stark

3 January, 13:27

Calculate the boundary of the farm in kilometres as indicated in Figure 2 (farm's map scaleis 1:50 000) (3). 2.5cm 1.8 3.5cm 5cm 4cm

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Answers (1)

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Kierra Morris · Answer 1

The sum of all 5 boundaries, in reality corresponds to 8.4 km

Explanation:

1:50 000 means that 1 cm in the map corresponds to 50 000 cm in reality, therefore, we only need to change units using the mentioned equivalency.

a) 1st side.

(2.5 cm in map) * (50 000 cm in reality / 1 cm in map) = 2.5 * 50 000 cm in reality = 125 000 cm in reality

Now for obtaining the measure in km, we need to use the equivalency between centimeters and kilometers (100 000 cm = 1 km)

(125 000 cm) * (1 km / 100 000 cm) = 1.25 km

b) 2nd side.

(1.8 cm in map) * (50 000 cm in reality / 1 cm in map) = 1.8 * 50 000 cm in reality = 90 000 cm in reality = (90 000 cm) * (1 km / 100 000 cm) = 0.9 km

c) 3d side.

(3.5 cm in map) * (50 000 cm in reality / 1 cm in map) = 3.5 * 50 000 cm in reality = 175 000 cm in reality = (175 000 cm) * (1 km / 100 000 cm) = 1.75 km

d) 4th side.

(5 cm in map) * (50 000 cm in reality / 1 cm in map) = 5 * 50 000 cm in reality = 250 000 cm in reality = (250 000 cm) * (1 km / 100 000 cm) = 2.5 km

e) 5th side.

(4 cm in map) * (50 000 cm in reality / 1 cm in reality) = 4 * 50 000 cm in reality = 200 000 cm in reality = (200 000 cm) * (1 km / 100 000 cm) = 2 km

Therefore, the length of the boundaries in reality are: 1.25 km, 0.9 km, 1.75 km, 2.5 km and 2 km, which add up to: 8.4 km.