Mathematics
A map of a square plot of land is drawn to a scale 1 : 25000. If the area of the plot in the map is 72 cm<sup>2</sup>, find : (i) the actual area of the plot of land. (ii) the length of the diagonal in the actual plot of land. Hint : (ii) (length of diagonal)<sup>2</sup> = area of square.
Related Questions
On a map drawn to a scale of 1 : 250000, a triangular plot of land has the following measurements :
AB = 3 cm, BC = 4 cm and ∠ABC = 90°. Calculate :
(i) the actual length of AB in km.
(ii) the area of the plot in sq. km.
On a map drawn to a scale of 1 : 50000, a rectangular plot of land ABCD has the following dimensions. AB = 6 cm; BC = 8 cm. Find :
(i) the actual length of the diagonal AC of the plot in km.
(ii) the actual area of the plot in sq. km.
The model of a building is constructed with the scale factor 1 : 30.
(i) If the height of the model is 80 cm, find the actual height of the building in metres.
(ii) If the actual volume of a tank at the top of the building is 27 m3, find the volume of the tank on the top of the model.
A model of a high size building is made to a scale of 1 : 50.
(i) If the height of the model is 0.8 m, find the height of the actual building.
(ii) If the floor area of a flat in a building is 20 m2, find the floor area of that in the model.