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Quantitative Aptitude :: Area Formulas

Area Questions and Answers

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1. Square = Area = a2 (or) d2/2 
    Perimeter = 4a
    d = √2a
    Where 'a' is side and 'd' is diameter.
2. Rectangle: Area = 1b
    Perimeter = 2 (1 + b)
d = √l2 + b2
Where l, b are length and breadth.
3. Triangle :
    a) Area = 1/2 bh  (b = base, h = height)
    b) Area = √S(S - a)(S - b)(S - C)
    Where S = (a + b + c)/2
4. Equilateral Trainagle :
    Area = √3/4a2
    Height = √3/2a
    Perimeter = 3a
    Where 'a' is the side.
5. Right angled triagle : d2 = S12 + S22
    a) If a path of width 'P' is located outside, a Rectangle, then area of path = (1 + b + 2p)2p.
    b) If the path is located inside the Rectangle, then area os path = (1 + b - 2p)2p.
6. Rhombus : 
    Area = 1/2 d1d2
    p = 4a
    Where d1 and d2 are two diagonals.
7. Parallologram :
    Area = base x height
8. Trapezium :
    Area = 1/2 h(a + b)
    Where 'a' and 'b' are parallel sides and 'h' is the perpendicular distance.
9. Quadrilateral :
    Area = 1/2 (Diagonal)(Sum of offsets)
10. Circle :
     Area = Πr2
     Perimeter = 2Πr
     r = d/2
     Where 'd' is the diameter.