Home
Class 10
MATHS
The area of a rectangle remains the s...

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.

Text Solution

Verified by Experts

The correct Answer is:
Length = 28 m, Breadth = 15 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 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.

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 area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area is increased by 67 square units. Find the length and breadth of the rectangle.

The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area is increased by 67 square units. Find the length and breadth of the rectangle.

The area of a rectangle increases by 200 sq, m, if the length is increased by 8 m and the breadth by 3 m. The area increases by 255 sq. m, if the length is increased by 3 m and breadth by 8m. Find the length and the breadth of the rectangle.

The area of a rectangle is 194.04 sq. cm. If the length of the rectangle is 14.7 cm, find its breadth.

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

The ratio of the length and breadth of a rectangle is 3:1. If the perimeter is 64 cm, find the dimensions of the rectangle.

The length of a rectangle exceeds its breadth by 4 m. Find the dimensions of the rectangle if its perimeter is 84 m.

The area of a rectangle is 168 sq.m. If the length is 14 m, find its breadth. Also, find its perimeter.

NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3e
  1. If in a rectangle, the length is increased by 2 units and breadth is r...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 2 men and 5 boys together can finish a piece of work in 4 days, while ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The ratio of incomes of A and B is 9 : 7 and the ratio of their expend...

    Text Solution

    |