Home
Class 10
MATHS
On a map, drawn to a scale of 1 : 20000,...

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 :
the diagonal distance of the plot in kilometre.

Text Solution

Verified by Experts

The correct Answer is:
`8 km `
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(D)|18 Videos

  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos

  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

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 : the area of the plot in sq. km.

On a map drawn to a scale of 1 : 2,50,000, a triangular plot of land has the following measurements: AB = 3 cm, BC = 4 cm and angle ABC = 90^@ Calculate : the area of the plot in sq. km.

On a map drawn to a scale of 1 : 2,50,000, a triangular plot of land has the following measurements: AB = 3 cm, BC = 4 cm and angle ABC = 90^@ Calculate : the actual lengths of AB and BC in km.

On a map drawn to a scale of 1:50,000 , a rectangular plot of alnd ABCD has the following dimensions. AB = 6 cm, BC = 8 cm and all angles are right angles. Find : (i) the actual length of the diagonal distyance AC of the plot in km.

On a map drawn to a scale of 1:50,000 , a rectangular plot of alnd ABCD has the following dimensions. AB = 6 cm, BCv = 8 cm and all angles are right angles. Find : (ii) the actual area of the plot in sq. km.

The scale of map is 1 : 50,000. In the map, a triangular plot ABC of land has the following dimensions : AB = 2 cm, BC = 3-5 cm and angle ABC = 90^@ . Calculate : the area of the plot in sq. km.

The scale of map is 1 : 50,000. In the map, a triangular plot ABC of land has the following dimensions : AB = 2 cm, BC = 3.5 cm and angle ABC = 90^@ . Calculate : the actual length of side BC, in km, of the land.

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.

In the given figure, AB and DE are perpendiculars to BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm, calculate AD.

A map is made with the scale 1 cm: 50,00,000 cm. If the distance between two cities on the map is 4 cm, find the actual distance between the two cities in kilometres.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. The given figure shows P a triangle PQR in which XY is parallel to QR....

    Text Solution

    |

  2. The given figure shows P a triangle PQR in which XY is parallel to QR....

    Text Solution

    |

  3. On a map, drawn to a scale of 1 : 20000, a rectangular plot of land AB...

    Text Solution

    |

  4. On a map, drawn to a scale of 1 : 20000, a rectangular plot of land AB...

    Text Solution

    |

  5. The dimensions of the model of a multi storeyed building are 1 m by 60...

    Text Solution

    |

  6. The dimensions of the model of a multi storeyed building are 1 m by 60...

    Text Solution

    |

  7. In a triangle PQR, L and M are two points on the base QR, such that /L...

    Text Solution

    |

  8. In a triangle PQR, L and M are two points on the base QR, such that /L...

    Text Solution

    |

  9. In a triangle PQR, L and M are two points on the base QR, such that /L...

    Text Solution

    |

  10. A triangle ABC with AB = 3 cm, BC = 6 cm and AC = 4 cm is enlarged to ...

    Text Solution

    |

  11. Two isosceles triangles have equal vertical angles. Show that the tria...

    Text Solution

    |

  12. In triangle ABC, AP : PB = 2 : 3. PO is parallel to BC and is P extend...

    Text Solution

    |

  13. In triangle ABC, AP : PB = 2 : 3. PO is parallel to BC and is P extend...

    Text Solution

    |

  14. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  15. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  16. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  17. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  18. In the given figure, ABC is a triangle with /EDB = /ACB. Prove that De...

    Text Solution

    |

  19. In the given figure, ABC is a triangle with /EDB = /ACB. Prove that De...

    Text Solution

    |

  20. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |