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  • Question
  • The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?


  • Options
  • A. 360sq metre
  • B. 380 sq metre
  • C. 360 metre
  • D. 400 sq metre

  • Correct Answer
  • 360sq metre 

    Explanation

    Let the breadth of rectangle be x m.

    Then, the length of rectangle = (x+ 6) m

    Perimeter of rectangle = 2 (x+x+ 6) m

    Therefore, 2 (x+x+ 6) = 84 m

    4x+ 12 = 84

    4x= 84 ?12
    4x = 72/4 = 18
    Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

    Diagonal of rectangle = ?(324+576) = 30 m = base of triangle

    Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

  • Tags: Bank Exams, Bank PO, Bank Clerk

    Area problems


    Search Results


    • 1. A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?

    • Options
    • A. Rs. 3600
    • B. Rs. 3800
    • C. Rs. 3900
    • D. Rs. 3700
    • Discuss
    • 2. If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

    • Options
    • A. 119.21 sq cm
    • B. 115.395 sq cm
    • C. 104.214 sq cm
    • D. 111.241 sq cm
    • Discuss
    • 3. The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.

    • Options
    • A. 84m
    • B. 24m
    • C. 44m
    • D. 54m
    • Discuss
    • 4. The base of a triangle of 15cm and height is 12cm. The height of another triangle of double the area having the base 20cm is

    • Options
    • A. 16
    • B. 17
    • C. 18
    • D. 20
    • Discuss
    • 5. The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?

    • Options
    • A. 13.68kmph
    • B. 31.68kmph
    • C. 41.68kmph
    • D. 45.68kmph
    • Discuss
    • 6. Find the curved surface area (in cm²) of a hemisphere of diameter 28 cm

    • Options
    • A. 1152
    • B. 1024
    • C. 956
    • D. 1232
    • Discuss
    • 7. The length and breadth of a rectangle is in the ratio of 3 : 1. If its perimeter is 96 m, then what is the length of the rectangle?

    • Options
    • A. 36m
    • B. 24m
    • C. 12m
    • D. 48m
    • Discuss
    • 8. The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes

    • Options
    • A. ?245 cm
    • B. ?255 cm
    • C. ?265 cm
    • D. ?275 cm
    • Discuss
    • 9. What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss
    • 10. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3 and area of ?ABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

    • Options
    • A. 84
    • B. 16
    • C. 25
    • D. 75
    • Discuss


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