Home
Class 10
MATHS
Find the dimensions of the prayer hall w...

Find the dimensions of the prayer hall whose carpet area is 300 square metres and whose length is 1 metre more than twice its breath.

Text Solution

Verified by Experts

The correct Answer is:
25m
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise Other Important Examples |13 Videos
  • QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise Excersice-4.1|2 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS (State whether each of the following statements is true or false:) |5 Videos
  • QUESTION PAPER -1

    KUMAR PRAKASHAN|Exercise SECTION D ( Answer the following as required with calculations) |1 Videos

Similar Questions

Explore conceptually related problems

Find the dimensions of a rectangle whose perimeter is 28 meters and whose area is 40 square meters.

Represent the following situations in the form of quadratic equation: The area of a rectangular plot is 528 m^(2) . The length of the plot is one metre more than twice its breadth. We need to find the length and breadth of the plot.

Find the area of the triangle whose vertices are (3,8),(-4,2) and (5,1)

Represent the following situations in the form of quadratic eqautions : (1) The area of a rectangular plot is 528 m^(2) . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (2) The product of two consecutive positive integers is 306. We need to find the integers. (3) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age. (4) A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. Find its length and breadth.

The area of a rectangular plot is 528 m(2) . The length of the plot (in metres) is one more than twice its breadth. Find the length and breadth of the plot by using the quadratic formula.

Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m. Find the dimensions of the garden.

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

A rectangular park is to be designed whose breadth is 3m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12m (see the given figure). Find its legth and breadth.

The area of a rectangle gets reduced by 80 square units if its length is reduced by 5 units and the breadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units, the area is increased by 50 square units. Find the length and breadth of the rectangle.

KUMAR PRAKASHAN-QUADRATIC EQUATIONS-Test Your Skills
  1. Find the dimensions of the prayer hall whose carpet area is 300 square...

    Text Solution

    |

  2. Check whether the following are quadratic equations : (1) (x-3)^(2)=...

    Text Solution

    |

  3. Represent the folloowing situations in the form of quadratic equations...

    Text Solution

    |

  4. The sum of the squares of two positive numbers is 233 and one number i...

    Text Solution

    |

  5. Find three consecutive integers such that the square of the first incr...

    Text Solution

    |

  6. A two digit number such tha the product of the digits is 20. If 9 is s...

    Text Solution

    |

  7. A alone takes 6 days less than the number of days taken by B alone to ...

    Text Solution

    |

  8. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |

  9. Find the roots of the following quadratic equations (if they exist) by...

    Text Solution

    |

  10. Using quadratic formula, solve the following quadratic equations : (...

    Text Solution

    |

  11. Solve the following for x : x^(2)+(1)/(x^(2))=(82)/(9) (2) x^(2)+(1...

    Text Solution

    |

  12. The speed of a boat in still water is 15 km/h. It can go 30 km upstrea...

    Text Solution

    |

  13. A girl is twice old as her sister. Four years hence, the product of th...

    Text Solution

    |

  14. The area of an isosceles triangle is 60cm^(2) and the length of each o...

    Text Solution

    |

  15. Two pipes running together can fill a tank in 11(1)/(9) minutes. If on...

    Text Solution

    |

  16. A shopkeeper buys a number of books for Rs. 80, If he had bought 4 mor...

    Text Solution

    |

  17. For the equation px^(2)+4sqrt(3)x+3=0, find the value of p, so that ...

    Text Solution

    |

  18. Determine k so that the equation x^(2)-3kx+64=0 has no real roots.

    Text Solution

    |

  19. The hypotenuse of a right triangle is 3sqrt(10) cm. If the smaller leg...

    Text Solution

    |

  20. Determine the positive values of k for which the equation x^(2)+kx+64=...

    Text Solution

    |