A survey map of a proposed cocoa plantation in southwestern Nigeria is drawn to a scale of… — JAMB UTME

A survey map of a proposed cocoa plantation in southwestern Nigeria is drawn to a scale of $1 : 50,000$ . If the main access road across the plantation measures $12\text{ cm}$ on the map, what is the actual ground distance of the road in kilometers?

Cevap: 6 km

Cevap

The actual ground distance of the road is

6\text{ km}

To determine the actual ground distance, multiply the measured map distance (

12\text{ cm}

) by the scale denominator (

50,000

) to get

600,000\text{ cm}

. Converting this value into kilometers by dividing by

100,000

gives an actual ground distance of

6\text{ km}

Adım Adım Çözüm

Calculate the ground distance in centimeters

12\text{ cm} \times 50,000 = 600,000\text{ cm}

A Representative Fraction of

1 : 50,000

means

1\text{ cm}

on the map corresponds to

50,000\text{ cm}

on the ground.

Convert centimeters to kilometers

600,000\text{ cm} \div 100,000 = 6\text{ km}

Since

1\text{ m} = 100\text{ cm}

and

1\text{ km} = 1,000\text{ m}

1\text{ km} = 100,000\text{ cm}

Anahtar Kavram

Distance calculation using Representative Fraction (R.F.) map scale

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