math
posted by jazz on .
the paralle side of trapezium are 20m and 30m and its nonparalle sides are 6m and 8m .find the area of trapezium

draw a diagram. There will be two triangles at the ends, aid since 20=3010, their bases will add up to 10.
If the triangle with hypotenuse 6 has base x, then the height h of the trapezoid is
h^2 = 6^2  x^2
h^2 = 8^2  (10x)^2
so,
36  x^2 = 64  (10x)^2
36x^2 = 64  100 + 20x  x^2
72 = 20x
x = 18/5
h^2 = 36  (18/5)^2
h = 24/5
area = (20+30)/2 * 24/5 = 120 
120m

120m^2