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  • Question
  • A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?


  • Options
  • A. 140
  • B. 150
  • C. 160
  • D. 170

  • Correct Answer
  • 140 

    Explanation

    when folded along the breadth
    we have 2(l/2 +b) = 34 or l+2b = 34...........(1)
    when folded along the length, we have 2(l+b/2)=38 or 2l+b =38.....(2)
    from 1 &2 we get l=14 and b=10
    Area of the paper = 14*10 = 140 sq cm


  • Area problems


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    • 1. The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:

    • Options
    • A. 75
    • B. 85
    • C. 95
    • D. 105
    • Discuss
    • 2. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

    • Options
    • A. 814
    • B. 820
    • C. 840
    • D. 844
    • Discuss
    • 3. A rectangular parking space is marked out by painting three of its sides.If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

    • Options
    • A. 126sq.ft
    • B. 120sq.ft
    • C. 130sq.ft
    • D. 135sq.ft
    • Discuss
    • 4. 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
    • 5. 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
    • 6. The perimeter of a square is 40 meters. Find the length of one side of the square

    • Options
    • A. 10m
    • B. 20m
    • C. 30m
    • D. 40m
    • Discuss
    • 7. The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle?

    • Options
    • A. l=65;b=16
    • B. l=16;b=64
    • C. l=64;b=16
    • D. l=16;b=48
    • Discuss
    • 8. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

    • Options
    • A. 2.5?
    • B. 3?
    • C. 5?
    • D. 4?
    • Discuss
    • 9. A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

    • Options
    • A. 4
    • B. 6
    • C. 8
    • D. None of the above
    • Discuss
    • 10. 2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plots is 96 sq.m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction?

    • Options
    • A. 20
    • B. 30
    • C. 40
    • D. data is inadequate
    • Discuss


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