A map is drawn to a scale in which 1 cm on the map represents 5 km on the ground. A triangular forest reserve appears on the map as a triangle of area 6 cm^2, similar in shape to the real reserve. Find the actual area of the reserve in km^2.

Question

Accepted Answer

150. Lengths are multiplied by 5, so areas are multiplied by 5^2 = 25. Actual area = 6 × 25 = 150 km^2. Multiplying the area by 5 gives 30 km^2, the commonest slip; cubing the scale gives 750 km^2 and dividing by 5 gives 1.2 km^2.

A map is drawn to a scale in which 1 cm on the map represents 5 km on the ground. A triangular forest reserve appears on the map as a triangle of area $6 cm^{2}$ , similar in shape to the real reserve.
Find the actual area of the reserve in $km^{2}$ .

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More Class 10 Areas of Similar Triangles practice

A map is drawn to a scale in which 1 cm on the map represents 5 km on the ground. A triangular forest reserve appears on the map as a triangle of area 6cm2, similar in shape to the real reserve.Find the actual area of the reserve in km2.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A map is drawn to a scale in which 1 cm on the map represents 5 km on the ground. A triangular forest reserve appears on the map as a triangle of area $6 cm^{2}$ , similar in shape to the real reserve.
Find the actual area of the reserve in $km^{2}$ .