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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. The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

    • Options
    • A. 44
    • B. 22
    • C. 33
    • D. 84
    • Discuss
    • 2. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

    • Options
    • A. 2520
    • B. 2420
    • C. 2320
    • D. 2620
    • Discuss
    • 3. The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.

    • Options
    • A. Rs.15500
    • B. Rs.16500
    • C. Rs.17500
    • D. Rs.18500
    • Discuss
    • 4. The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m

    • Options
    • A. 53800
    • B. 43800
    • C. 83800
    • D. 73800
    • Discuss
    • 5. A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is

    • Options
    • A. rs.58
    • B. rs.158
    • C. rs.258
    • D. rs.358
    • Discuss
    • 6. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

    • Options
    • A. 20 m
    • B. 30 m
    • C. 40 m
    • D. 50 m
    • Discuss
    • 7. A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?

    • Options
    • A. 28 cm
    • B. 3.5 cm
    • C. 7 cm
    • D. 14 cm
    • Discuss
    • 8. The area of a circle of radius 5 is numerically what percent its circumference?

    • Options
    • A. 150%
    • B. 250%
    • C. 350%
    • D. 450%
    • Discuss
    • 9. Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.

    • Options
    • A. 56m
    • B. 16m
    • C. 14m
    • D. 76m
    • Discuss
    • 10. Square units 13 by 9 of an office area is

    • Options
    • A. 97
    • B. 117
    • C. 107
    • D. 127
    • Discuss


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