Mathematics
On a map, drawn to a scale of 1 : 20000, a rectangular plot of land ABCD has AB = 24 cm and BC = 32 cm. Calculate :
(i) the diagonal distance of the plot in kilometre.
(ii) the area of the plot in sq. km.
Related Questions
In a triangle PQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP. Prove that :
(i) △PQL ~ △RPM
(ii) QL × RM = PL × PM
(iii) PQ2 = QR × QL
The ratio between the altitudes of two similar triangles is 3 : 5; write the ratio between their:
(i) corresponding medians.
(ii) perimeters.
(iii) areas.
The ratio between the areas of two similar triangles is 16 : 25. State the ratio between their :
(i) perimeters
(ii) corresponding altitudes
(iii) corresponding medians.
The dimensions of the model of a multistoreyed building are 1 m by 60 cm by 1.20 m. If the scale factor is 1 : 50, find the actual dimensions of the building.
Also, find :
(i) the floor area of a room of the building, if the floor area of the corresponding room in the model is 50 sq. cm.
(ii) the space (volume) inside a room of the model, if the space inside the corresponding room of the building is 90 m3.