Posted by **jazz** on Thursday, November 22, 2012 at 7:50am.

the paralle side of trapezium are 20m and 30m and its non-paralle sides are 6m and 8m .find the area of trapezium

- math -
**Steve**, Thursday, November 22, 2012 at 8:04pm
draw a diagram. There will be two triangles at the ends, aid since 20=30-10, 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 - (10-x)^2

so,

36 - x^2 = 64 - (10-x)^2

36-x^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

## Answer This Question

## Related Questions

- Math - Can't figure this out... :( An isosceles trapezium with its longest side ...
- maths - a trapezium with its parallel sides in the ratio16:5,is cut from a ...
- maths - a trapezium with its parallel sides in the ratio16:5,is cut from a ...
- Math - The parallel sider of a trapezium are 25 cm and 11 cm, while its ...
- math - The perimeter of an isosceles trapezium is 134 cm and the bases are 54 ...
- math - The parallel sides of a trapezium are 6cm and 5cm long and 4cm apart.what...
- Math - The area of a trapezium is 360 in2. If the ratio of the bases to the ...
- Conversions - The parallel sides of a trapezium are 10m and 14m. If the area of ...
- pragati - in the given figure ABCD is a trapezium in which AD parallel to BC. ...
- math - A trapezium ABCD is such that AB//CD and the perpendicular from A to CD ...

More Related Questions