Home
Class 9
MATHS
If the length of a rectangle is increase...

If the length of a rectangle is increased by 3 metres and the breadth is decreased by 3 metres, then the area of the rectangle is decreased by 18 sq .meters . Again , if its length is increased by 3 metres and the breadth is increased by 3 metres, then area of the rectangle is increased by 60 sq. metres . Find the length and breadth of the rectangle.

Text Solution

Verified by Experts

The correct Answer is:
Length=10 metres , Breadth = 7 metres
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN REAL PROBLEMS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos
  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.2|77 Videos
  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos

Similar Questions

Explore conceptually related problems

if the length be increased by 2 metres and the breadth be increased by 3 metres respectively , the area of the rectangle is increased by 75 sq. metres . But if the length be decreased by 2 metres and the breadth be increased by 3 metres , the area of the rectangle increases by 15 sq.metres . Find the length and breadth of the rectangle.

If the length of a a rectangular park be increased by 2 metres and the breadth be deceased by 2 metres , then the area of the park is decreased by 26 sq . Metres . Again , if the length be decreased by 1 metre and the breadth be increased by 2 meters, then the area of the park is increased by 33 sq. metres . Find the area of the rectangular park.

If the length of a rectangle is decreased by 5 metres and the breadth is increased by 3 metres the area is decreased by 9 sq metres but if the length is increased by 3 metres and the breadth by 2 metres, the area is increased by 67 sq.metres. Find its length and breadth.

The length of a rectangle is increased by 15% and the breadth is reduced by 15%. Let’s work out in percentage the increase or decrease of area.

If the length of the sides of an equilateral triangle be increased by 1 cm each, then the area of the triangle increases by sqrt(3) sq-cm. Find the length of the equilateral triangle.

If the ratio of the length and breadth of a rectangle is 5:3 , find the possible length and breadth of rectangles.

The area and perimeter of a rectangular park are 600 sq.m. and 100 m respectively. Find the length and breadth of the park.

The ratio of the length and breadth of a rectangles is 3 : 2 and its perimeter is 100m. Let's find the area of the rectangle.

The area of a rectangle is 8x^2 sq units. If its length is 4x units, find its breadth.

CALCUTTA BOOK HOUSE-LINEAR EQUATIONS IN REAL PROBLEMS-EXERCISE-5
  1. The sum of two digits of a number consisting of two digits is 7 . If 2...

    Text Solution

    |

  2. At present , sum of the ages of a father and his son in 46 years . Whe...

    Text Solution

    |

  3. If the length of a rectangle is increased by 3 metres and the breadth ...

    Text Solution

    |

  4. Sum of the numerator and the denominator of a fraction is 13. If 4 is ...

    Text Solution

    |

  5. A man travels a distance in 3 hours with a uniform velocity . If the d...

    Text Solution

    |

  6. If the length of a a rectangular park be increased by 2 metres and the...

    Text Solution

    |

  7. If 2 is subtracted from the numerator and 3 is added to the denominato...

    Text Solution

    |

  8. The sum of the present ages of a mother and her daughter is 55 years. ...

    Text Solution

    |

  9. A number of two digits is 3 more than 4 times of the sum of its digits...

    Text Solution

    |

  10. 5 times of the greater one of two numbers is 2 more than 8 times of th...

    Text Solution

    |

  11. If 2 is added to both the numerator and the denominator of a fraction ...

    Text Solution

    |

  12. The total price of 9 horses and 7 cows is Rs. 3000 and at the same rat...

    Text Solution

    |

  13. A person travels by boat 5 kilometres in 1 hour in still water. The ti...

    Text Solution

    |

  14. Determine a number of three digits such that if the digits of it be re...

    Text Solution

    |

  15. A student starting from his house walks at a speed 2(1)/(2) km/hour ...

    Text Solution

    |

  16. Total price of 3 pens and 4 pencils is Rs. 37. Again , total price of ...

    Text Solution

    |

  17. 2 men and 6 boys together can do a piece of work in 5 days . 8 men and...

    Text Solution

    |

  18. A boat travels up stream 30 kilometres and down -stream 44 kilometres ...

    Text Solution

    |

  19. Two men 8(1)/(4) kilometres apart, start to walk at the same time . I...

    Text Solution

    |

  20. If a man sells 7 horse and buys 9 cows his purchase increases by Rs. 1...

    Text Solution

    |