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1. The area of a rectangular field is 52000 sq. meters. This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field in the map is -

  • A. 1.6 m
  • B. 1.6 m
  • C. 1.6 m
  • D. 1.6 m

Answer: Option B

Explanation:

The scale of the map is 1 cm to 100 m. This means that 1 cm on the map represents 100 meters in reality.

Given that the length on the map is 3.25 cm, you can find the actual length by multiplying it by the scale factor:

Actual length = Length on map × Scale factor = 3.25 cm × 100 m/cm = 325 m

Now, you mentioned that the area of the rectangular field is 52000 square meters. The area of a rectangle is given by the formula:

Area=Length×Breadth

We know the area is 52000 square meters and the length is 325 meters. Substituting these values into the formula, we can find the breadth:

52000m2=325m×Breadth

Breadth=325m52000m2​

Breadth=160m


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