How do you work out the area of a trapezium.

An example would be good as well.

Thanks in advance

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- Oct 25th 2007, 02:30 AMdravid2Area of a trapezium
How do you work out the area of a trapezium.

An example would be good as well.

Thanks in advance - Oct 25th 2007, 08:08 AMSpimon
The formula is 1/2 (a+b) * h

http://img147.imageshack.us/img147/9558/trapbd2.jpg

Example:

Area = 1/2*(5+8)*3

= 1/2*(13)*3

= 19.5 units squared

http://img517.imageshack.us/img517/7385/examplejq4.jpg - Oct 25th 2007, 08:13 AMSean12345
Let a and b be the parallel sides of the trapezium.

Let h be the height of the trapezium.

$\displaystyle A=\frac{h(a+b)}{2}$

Example: A trapezium of height 6cm has 2 parallel sides one is 10cm the other is 8cm. Find the area of the trapezium.

Using the formula:

$\displaystyle A=\frac{h(a+b)}{2}$

$\displaystyle A=\frac{6(10+8)}{2}$

$\displaystyle \implies A=\frac{6(18)}{2}$

$\displaystyle \implies A=\frac{108}{2}$

$\displaystyle \implies A=54cm^2$ - Oct 25th 2007, 09:07 AMdravid2
thx a lot m8, that was loadz of help