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  • Question
  • The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?


  • Options
  • A. 10cm
  • B. 20cm
  • C. 30cm
  • D. 40cm

  • Correct Answer
  • 20cm 

    Explanation

    Let the breadth of the given rectangle be x then length is 2x.
    thus area of the given rect is  2 x 2

     

     

     

    after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)= 2 x 2 + 5 x - 25

    since new area is 75 units greater than original area thus
    2 x 2 + 75   =   2 x + 5 x - 25
    5x=75+25
    5x=100
    therefore x=20
    hence length of the rectangle is 40 cm.


  • Area problems


    Search Results


    • 1. A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?

    • Options
    • A. 156
    • B. 166
    • C. 176
    • D. 186
    • Discuss
    • 2. The ratios of areas of two squares, one having its diagonal double than the other is

    • Options
    • A. 2:1
    • B. 2:3
    • C. 3:1
    • D. 4:1
    • Discuss
    • 3. The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

    • Options
    • A. 13 cm
    • B. 14 cm
    • C. 16 cm
    • D. 12 cm
    • Discuss
    • 4. A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is

    • Options
    • A. Rs. 258
    • B. Rs. 358
    • C. Rs. 458
    • D. Rs. 558
    • Discuss
    • 5. The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.

    • Options
    • A. B=900;H=300
    • B. B=300;H=900
    • C. B=600;H=700
    • D. B=500;H=900
    • Discuss
    • 6. The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?

    • Options
    • A. 150
    • B. 250
    • C. 350
    • D. 550
    • Discuss
    • 7. A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

    • Options
    • A. 136
    • B. 146
    • C. 166
    • D. 176
    • Discuss
    • 8. Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

    • Options
    • A. 84
    • B. 64
    • C. 44
    • D. 22
    • Discuss
    • 9. The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is

    • Options
    • A. 5100 sq.m
    • B. 4870 sq.m
    • C. 4987 sq.m
    • D. 4442 sq.m
    • Discuss
    • 10. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

    • Options
    • A. 20%
    • B. 30%
    • C. 40%
    • D. 50%
    • Discuss


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