In an Atlas a map occupies $\frac{2}{5}$ th of a page with dimensions 25 cm and 30 cm respectively If the real area of the map is 10800 sq. m the scale to which the map is drawn is

1 cm = 36 m

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1 cm = 26 m

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1 cm = 33 m

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1 cm = 6 m

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Solution

The correct option is D 1 cm = 6 m
Area occupies by the map= $(2 / 5) * 25 * 30 c m^{2} = 300 c m^{2}$
Area of $300 c m^{2}$ on the map represent $10800 m^{2}$ real area of the map.
So,Area of $1 c m^{2}$ on the map represent = $10800 m^{2} / 300 c m^{2} = 36 m^{2} : 1 c m^{2}$
Ratio of length=
$R = \sqrt{\frac{R e a l a r e a}{M a p a r e a}} = \sqrt{\frac{36 m^{2}}{1 c m^{2}}} = \frac{6 m}{1 c m}$
Scale =1cm=6m
Answer (D) 1 cm = 6 m

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In an Atlas a map occupies 25th of a page with dimensions 25 cm and 30 cm respectively If the real area of the map is 10800 sq. m the scale to which the map is drawn is

The correct option is D 1 cm = 6 mArea occupies by the map=(2/5)∗25∗30cm2=300cm2Area of 300cm2 on the map represent 10800m2 real area of the map.So,Area of 1cm2 on the map represent =10800m2/300cm2=36m2:1cm2Ratio of length=R=√RealareaMaparea=√36m21cm2=6m1cmScale =1cm=6mAnswer (D) 1 cm = 6 m

In an Atlas a map occupies $\frac{2}{5}$ th of a page with dimensions 25 cm and 30 cm respectively If the real area of the map is 10800 sq. m the scale to which the map is drawn is