Home
Class 10
MATHS
The area of a rectangle gets reduced by ...

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. The area is increased by 67 square units if length is increased by 3 units and breadth is increased by 2 units. Find the perimeter of the rectangle.

Text Solution

Verified by Experts

The correct Answer is:
x = 17, y = 9
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.1)|3 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.2)|19 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TOPIC - 2 ALGEBRAIC METHODS TO SOLVE PAIR OF LINEAR EQUATIONS AND EQUATIONS REDUCIBLE TO LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS - I)|14 Videos
  • KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD (MODEL QUESTION PAPER)

    OSWAAL PUBLICATION|Exercise QUESTION|42 Videos
  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.4)|6 Videos

Similar Questions

Explore conceptually related problems

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. if we increases the length by 3 unit and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Form the pair of linaer equations in the following problems and find their solutions (if they exist) by any algebraic method : The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Form the pair of linear equations in the following problems and their solutions (if they exist) by any algebraic method. The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

The perimeter of a rectangle is 36 cm and its area is 80 square cm. Find its length and breadth.

The area of a triangle is 5 square units. Two of its vertices are (2,1) and (3,-2) and the third vertex lies on y = x + 3, find the third vertex.

The maximum area of a rectangle that can be inscribeb in a circle of radius 2 units is square units )

The maximum area of a rectangle that can be inscribed in a circle of radisu 2 units is

The area in square units of the region bounded by y^2=9x and y=3x is :

If the area of circle is 49 pi sq. units then it's perimeter is

The perimeter of a rectangular sheet is 100cm. If the length is 35cm, find its breadth. Also find the area.

OSWAAL PUBLICATION-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -TOPIC - 2 ALGEBRAIC METHODS TO SOLVE PAIR OF LINEAR EQUATIONS AND EQUATIONS REDUCIBLE TO LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS - II)
  1. 4 chairs and 3 tables cost Rs. 2100 and 5 chairs and 2 tables cost Rs....

    Text Solution

    |

  2. Solve the following of equations : (2)/(sqrt(x))+(3)/(sqrt(y))=2 ...

    Text Solution

    |

  3. Solve for x and y : 2x-y+3=0 3x-5y+1=0

    Text Solution

    |

  4. The ratio of incomes of two persons is 11 : 7 and the ratio of their e...

    Text Solution

    |

  5. A and B are two points 150 km apart on a highway. Two cars start from ...

    Text Solution

    |

  6. If 2 is subracted from the numerator and 1 is added to the denominator...

    Text Solution

    |

  7. If a bag containing red and white balls, half the number of white ball...

    Text Solution

    |

  8. A two digit number is obtained by either multiplying the sum of digits...

    Text Solution

    |

  9. The area of a rectangle gets reduced by 9 square units, if its length ...

    Text Solution

    |

  10. Solve for x and y : 2(3x-y)=5xy, 2(x+3y)=5xy,

    Text Solution

    |

  11. The present age of the father is twice the sum of the ages of his 2 ch...

    Text Solution

    |

  12. A fraction becomes (9)/(11) if 2 is added to both numerator and denomi...

    Text Solution

    |

  13. A motor boat can travel 30 km upstream and 28 km downstream in 7 hour...

    Text Solution

    |

  14. A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it...

    Text Solution

    |

  15. For what values of a and b does the following pair of linear equations...

    Text Solution

    |

  16. Atul is sitting on a boat which goes 30 km upstream and 44 km downstre...

    Text Solution

    |