Mathematics
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.
Related Questions
A rectangle having an area of 60 cm2 is transformed under enlargement about a point in space. If the area of its image is 135 cm2, find the scale factor of the enlargement.
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.
On a map drawn to a scale of 1 : 20000, a rectangular plot of land ABCD has AB = 32 cm and BC = 24 cm. Calculate :
(i) the diagonal distance of the plot in km,
(ii) the area of the plot in sq. km.
The dimensions of the model of a multistorey building are 1 m × 60 cm × 1.25 m. If the model is drawn to a scale 1 : 60, find the actual dimensions of the building in meters. Find:
(i) the floor area of a room of the building, whose area in the model is 250 cm2,
(ii) the volume of the room in the model, whose actual volume is 648 cubic metres.