# Free math problems and answer

## Free math problems and answer

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# Area of Geometric Figures

**Area of a Rectilinear Figures**

**Area of a Triangle**: If the height of a triangle is ‘h’ and the base is ‘b’, then the area of a triangle is given by base x height = bh

**Area of a Equilateral Triangle**: 1/4 times square root of 3 times side squared i.e. 1/4 times root 3a^{2}

**Area of a Triangle by Heron’s formula****: **If the sides of a triangle is a,b and c, then the area of a triangle is square root (s(s-a)(s-b)(s-c), where 2s = a + b + c i.e the sum of the sides of a triangle is equal to 2S

**Area of a Rectangle**: If the sides or length and width of a rectange is ‘l’ and ‘w’, then the area of a rectangle is given by length x width = lw

**Area of a Square**: If the side of a square is ‘a’, then the area of a square is given by side x side = a^{2}

**Area of a Parallelogram**: If the side of a parallelogram is ‘b’ and height is ‘h’, then the area of a parallelogram is given by b x h = bh

**Area of a Trapezoid**: If the sides of a trapezoid is b1 and b2 and its height is ‘h’, then the area of a trapezoid is given by

**Area of a trapezoid** is given by 1/2 times (sum of the sides) times height = 1/2 (b1 + b2) x h

**Area of a Circle**: If the radius of a circle is ‘r’, then the area of a circle is given by

**Area of a circle** = pi times r2 = pi r2

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