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  • Question
  • The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?


  • Options
  • A. 12.50 cm
  • B. 14.21 cm
  • C. 15.98 cm
  • D. 17.08 cm

  • Correct Answer
  • 17.08 cm 

    Explanation

    Let the length of the rectangle = L cm

     

    Then the breadth of the rectangle = (L - 10) cm

     

    Perimeter of a rectangle = 2(L + B) cm

     

    => 44 = 2(L + L - 10)

     

    => 44 = 4L - 20

     

    => 4L = 64

     

    => L = 16 cm

     

    => B = L - 10 = 6 cm

     

    Diagonal =  L 2 + B 2  =  16 2 + 6 2  = 17.08 cm


  • Area problems


    Search Results


    • 1. In an old Palace there are 50 stairs to go on top floor. Each is 20 cm high, 30 cm wide and 60 cm long. If all the stairs are re-plastered at the rate of Rs. 4 per 100 sq.cm. What is the expenditure ?

    • Options
    • A. Rs. 4680
    • B. Rs. 7600
    • C. Rs. 6000
    • D. Rs. 5480
    • Discuss
    • 2. The circumference of a circle, whose area is 24.64 sq.m

    • Options
    • A. 14.64
    • B. 16.36
    • C. 17.60
    • D. 18.40
    • Discuss
    • 3. An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

    • Options
    • A. 1:2
    • B. 1:3
    • C. 2:3
    • D. 3^(1/2) :2
    • Discuss
    • 4. The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

    • Options
    • A. 2:25
    • B. 3:25
    • C. 4:25
    • D. 6:25
    • Discuss
    • 5. What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ?

    • Options
    • A. 13 m
    • B. 14 m
    • C. 15 m
    • D. 16 m
    • Discuss
    • 6. The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. Find the area of the triangle.

    • Options
    • A. 24
    • B. 48
    • C. 60
    • D. 72
    • Discuss
    • 7. In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements.

    • Options
    • A. .7%
    • B. 0.8%
    • C. 0.9%
    • D. 0.3%
    • Discuss
    • 8. Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is

    • Options
    • A. 12
    • B. 32
    • C. 42
    • D. 52
    • Discuss
    • 9. A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?

    • Options
    • A. 315
    • B. 385
    • C. 415
    • D. 485
    • Discuss
    • 10. If length of each side of a rhombus PQRS is 8 cm and ?PQR = 120°, then what is the length (in cm) of QS?

    • Options
    • A. 4?5
    • B. 6
    • C. 8
    • D. 12
    • Discuss


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