Problems on Areas Question and Answers : Quantitative Aptitude

Mensuration : Quantitative Aptitude
  1. 16.   The area of a square field is 4802 m2 the length of its diagonal is:

    A.) 94 m B.) 96 m
    C.) 98 m D.) None of these
    Answer: Option 'C'

    Let the diagonal be d metres,

    Then 1/2 d2 = 4802

    d2 = 9604

    d = √9604

    d = 98 m



  2. 17.  The diagonal of a rhombus are 65 m and 60 m. Its area is:

    A.) 1950 Cm3 B.) 1950 Cm2
    C.) 1960 Cm2 D.) 1960 Cm3
    Answer: Option 'B'

    Area of the rhombus = 1/2 d1d2 = ( 1/2 × 65 × 60 ) Cm2

    = 65 × 30 = 1950 Cm2



  3. 18.   The diagonal of a square is 40 m. The area of the square is:

    A.) 800 m2 B.) 800 m3
    C.) 750 m2 D.) None of these
    Answer: Option 'A'

    Arear = 1/2 × ( diagonal )2

    = ( 1/2 × 40 × 40 )m2

    = 1600/2 = 800 m2



  4. 19.  The area of the largest triangle that can be inscribed in a semicircle pf rasius r Cm, is:

    A.) r3 Cm2 B.) r2 Cm3
    C.) r2 Cm2 D.) r3 Cm3
    Answer: Option 'C'

    Area of the largest triangle = (1/2 × 2r × r) Cm2 = r2 Cm2



  5. 20.  Find the area of the sector whose are is making an angle of 90° at the center of a circle of radius 3.2 Cm.

    A.) 46.32 Sq.Cm B.) 54.32 Sq.Cm
    C.) 56.22 Sq.Cm D.) 56.32 Sq.Cm
    Answer: Option 'D'

    Area of the sector = 90/360 × πr2

    = 90/360 × 22/7 × 3.2 × 3.2

    = (11 × 10.24)/2 = 112.64/2 = 56.32 Sq.Cm




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