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In a map, a distance of 50 km between two places A and B iš represented by 4 cm.
What will be the actual distance between A and C, represented on the map as 7 cm?
The distance of 62.5 km between A and D is represented on the map considered
in Question 11. What will be the distance in cm on the map?
50
Answers
Answer:
Q. 1: 87.5 km
Q. 2: 5 cm
Step-by-step explanation:
Q. 1: Let the actual distance between A and C be x km.
Proportion of the scale of the map to the actual distance.
4cm/50km = 7cm/xkm
⇒ 4/5000000 = 7/x (converting into cm)
⇒ 1/1250000 = 7/x
⇒ x = 7 × 1250000
⇒ x = 8750000 cm = 87.5 km
∴ The actual distance between A and C is 87.5 km.
Q. 2: Let the distance between A to D on the map be y cm.
Proportion of the scale of the map to the actual distance.
4cm/50km = ycm/62.5km
⇒ 4/5000000 = y/6250000 (converting into cm)
⇒ 1/1250000 = y/6250000
⇒ y = 6250000/1250000
⇒ y = 5cm
∴ The distance between A to D on the map is 5 cm.
Q11: Distance of 1cm = 50/4 = 12.5 KM
Distance of 7 CM = 12.5 × 7 = 87.5 KM
Actual Distance between A and C is 87.5 KM
Q12: 62.5×100000= 625000cm
(1km= 100000cm)
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