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A map has a scale of 1: 40 000 (a) Calculate the distance in metres between two points on the ground if the distance shown on the map is the map 3.25 cm

A map has a scale of 1: 40 000
(a) Calculate the distance in metres between two points on the ground if the distance shown on the map is the map 3.25 cm
(b) Calculate the area on the map of woodland which occupies 36 metres by 36 metres on the ground.

Answers

John
(a) 1 cm rep 40 000 cm

3.25 cm rep x

x = 3.25 cm rep x

x = 3.25 x 40 000

$\frac{130 000}{100}$ = 1 300 metres

distance between the two

points on the ground is

1300 m

(b) 1 cm rep 40 000 cm

1 cm rep 400 m

1 cm2 rep 16 000 m2

1 cm = 400 m on ground

? = 36 m on ground

$\frac{36}{400}$ = 0.09 cm

area on the map is 0.09 x 0.09 = 0.0081 m2
johnmulu answered the question on June 12, 2017 at 07:21

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