Home
Class 10
MATHS
The perimeter of a rectangle plot is 32 ...

The perimeter of a rectangle plot is 32 metres. If the length is increased by 2 metres and the breadth is decreased by 1 metre, the area of the plot remains unchanged. Find the dimensions of the plot.

Text Solution

Verified by Experts

The correct Answer is:
10 m and 6 m
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Very Short Answer Questions|9 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Short Answer Questions|10 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3d|35 Videos
  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. The area remains unaffected if the length is decreased by 7 metres and breadth is increased by 5 metres. Find the dimensions of the rectangle.

The perimeter of a rectangular plot is 52m and its length is 17m. Find its breadth

The perimeter of a rectangular plot is 52m and its length is 17m. Find its area.

In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 meters, the area of the rectangle is reduced by 67 square meters. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle.

The perimeter of a rectangular plot of land is 240 m and its length is 63 m . Find the breadth and area of the plot.

The perimeter of a square plot of land is 144 metres . Find its area.

The perimeter of a rectangular field is 216 metres and its breadth is 40 metres . Find the length and area of the rectangle.

The area of a rectangle is 78(2)/(9) square metres. If its length is 10 (2)/(3) m, find its breadth.

Area of a square plot is 2304m^2. Find the side of the square plot.

The length of a rectangular park exceeds its breadth by 17 metres. If the perimeter of the park is 178 metres, find the dimensions of the park.

NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3e
  1. In a cyclic quadrilateral A B C D , /A=(2x+4)o,\ \ /B=(y+3)o,\ \ /C...

    Text Solution

    |

  2. If in a rectangle, the length is increased by 2 units and breadth is r...

    Text Solution

    |

  3. The perimeter of a rectangle plot is 32 metres. If the length is incre...

    Text Solution

    |

  4. The area of a rectangle remains the same if the length is increased...

    Text Solution

    |

  5. A man went to a Bank with Rs. 1000. He asked the cashier to give him R...

    Text Solution

    |

  6. Post cards costing 15 paise each and inland letters costing 75 paise e...

    Text Solution

    |

  7. 2 men and 5 boys together can finish a piece of work in 4 days, while ...

    Text Solution

    |

  8. A and B together can do a piece of work in 15 days. If 1 day's work of...

    Text Solution

    |

  9. A takes 3 hours more than B to walk a distance of 30 km. But, if...

    Text Solution

    |

  10. The boat goes 25 km upstream and 33 km downstream in 8 hours. It can a...

    Text Solution

    |

  11. A boat travels for 7 hours. If it travels 4 hours downstream and 3 hou...

    Text Solution

    |

  12. A sailor goes 8 km downstream in 40 minutes and returns in 1 hours....

    Text Solution

    |

  13. Anshula walks 35 km partly at the rate 4 km/hour and Partly at 5 km/ho...

    Text Solution

    |

  14. A bucket when filled (5)/(7) with water weights 12 kg and filled (3)/(...

    Text Solution

    |

  15. Acids with 25% and 40% concentrations are mixed to get 60 litres of 30...

    Text Solution

    |

  16. A person invested some amount at the rate of 12% simple interest and ...

    Text Solution

    |

  17. rates?43. A milkman buys 15 litres milk partly at the rate of 12 per l...

    Text Solution

    |

  18. Ved travels 600 km to his home partly by train and partly by car. H...

    Text Solution

    |

  19. Students of a class are preparing for a drill and are made to stand...

    Text Solution

    |

  20. A part of monthly hostel charges is fixed and the remaining depends on...

    Text Solution

    |