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  • Question
  • In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by


  • Options
  • A. 40/3%
  • B. 20%
  • C. 25%
  • D. 27%

  • Correct Answer
  • 25% 

    Explanation
    Let the breadth of the rectangle = x
    Length of the the rectangle will be = 3 times of breadth = 3x
    So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
    New breadth after increase = x + 10x/100 = 1.1x
    New length after increase = 3x + 30*3x/100 = 3.9x
    New perimeter = 2(1.1x + 3.9x) = 10x
    Percentage change in perimeter = ( 10x-8x)*100/8x = 25%

  • Area problems


    Search Results


    • 1. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

    • Options
    • A. Rs. 4082.40
    • B. Rs. 1024.21
    • C. Rs. 2810.6
    • D. Rs. 3214
    • Discuss
    • 2. The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ?

    • Options
    • A. 15 mts
    • B. 30 mts
    • C. 24 mts
    • D. 36 mts
    • Discuss
    • 3. A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?

    • Options
    • A. 65m
    • B. 45m
    • C. 55m
    • D. 56m
    • Discuss
    • 4. If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:

    • Options
    • A. 1:1
    • B. 1:2
    • C. 1:3
    • D. 1:4
    • Discuss
    • 5. The diagonal of the floor of a rectangular closet is 7 12 feet. The shorter side of the closet is 4 12 feet. What is the area of the closet in square feet?

    • Options
    • A. 9
    • B. 18
    • C. 27
    • D. 36
    • Discuss
    • 6. A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt

    • Options
    • A. 680rs
    • B. 480rs
    • C. 340rs
    • D. 320rs
    • Discuss
    • 7. The ratio of bases of two triangles is x:y and that of their areas is a:b. Then the ratio of their corresponding altitudes wll be

    • Options
    • A. ay:bx
    • B. a:b
    • C. x:y
    • D. bx:ay
    • Discuss
    • 8. If each side of a square is increased by 25%, find the percentage change in its area.

    • Options
    • A. 56.25%
    • B. 36.25%
    • C. 16.25%
    • D. 12.25%
    • Discuss
    • 9. If the perimeters of a square and a rectangle are the same, then the area a & b enclosed by them would satisfy the condition:

    • Options
    • A. a
    • B. a>b
    • C. a=b
    • D. none
    • Discuss
    • 10. The area of a square field is 69696sq.cm..its diagonal will be equal to

    • Options
    • A. 373
    • B. 573
    • C. 473
    • D. 673
    • Discuss


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