Mathematics: Determine the 5th term of the sequence 1, 10, 100,

Determine the 5th term of the sequence 1, 10, 100,

Vlop3971

10.09.2022

The actual area of the farm is $150 km^{2}$

In measuring distance on map, a map scale is usually used to relate what the actual distance is on ground to the distance on paper.

In this case, the map scale given is 1 cm to 5 km. This means:

Every 1 cm on the map represents 5 km of the actual distance on ground.

Given that a farm with a rectangular shape as shown in the image attached below, the farm measures 1.5 cm by 4 cm, it means,

Length of the farm on the map = 4 cm

Using the map scale, actual length of the farm would be:

$4 \times 5 = 20 km$

Width of the farm on the map = 1.5 cm

Using the map scale, actual width of the farm would be:

$1.5 \times 5 = 7.5 km$

Actual area of the farm = area of rectangle = $length \times width$

$20 \times 7.5 = 150 km^{2}$

Therefore, the actual area of the farm is $150 km^{2}$

Learn more on scale of a map here:

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