Mathematics
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.
Related Questions
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.
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.
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.
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.