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.
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.
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.
A model of a ship is made to a scale of 1 : 200.
(i) If the length of the model is 4m, find the length of the ship.
(ii) If the area of the deck of the ship is 160000 m2, find the area of the deck of the model.
(iii) If the volume of the model is 200 litres, find the volume of the ship in m3.