A Δ ABC with sides AB = 16 cm, BC = 12 cm and CA = 18 cm is reduced to Δ A'B'C' such that the smallest side of the image triangle is 4.8 cm. Find the scale factor and use it to find the lengths of the other sides of Δ A'B'C'.

A Δ PQR is reduced by a scale factor 0.72. If the area of Δ PQR is 62.5 cm², find the area of its image.

On a map drawn to a scale of 1 : 25000, a triangular plot LMN of land has the following measurements :

LM = 6 cm, MN = 8 cm and ∠LMN = 90°. Calculate :

(i) the actual lengths of MN and LN in kilometers,

(ii) the actual area of the plot in sq. km.

The scale of a map is 1 : 200000. A plot of land of area 10 km² is to be represented on the map. Find :

(i) the length in km on the ground, represented by 1 cm on the map,

(ii) the area in km² that can be represented by 3 cm² on the map,

(iii) the area on the map representing the plot of land.