The perimeter of a trapezium is 104 m; its non-parallel sides are 18 m & 22 m & its altitude is 16 m. How do I find the area of the trapezium?

Thanks,

Ron

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- Jan 11th 2011, 08:04 AMrn5aArea Of Trapezium
The perimeter of a trapezium is 104 m; its non-parallel sides are 18 m & 22 m & its altitude is 16 m. How do I find the area of the trapezium?

Thanks,

Ron - Jan 11th 2011, 08:14 AMAlso sprach Zarathustra
- Jan 11th 2011, 08:18 AMDrSteve
The Area is the height times the average of the bases. The sum of the bases is 104-18-22. Can you take it from here?

- Jan 11th 2011, 08:51 AMrn5a
- Jan 12th 2011, 12:21 AMAlso sprach Zarathustra
- Jan 12th 2011, 05:33 AMSoroban
Hello, Ron!

Quote:

The perimeter of a trapezium is 104 m.

Its non-parallel sides are 18 m & 22 m.

Its altitude is 16 m.

How do I find the area of the trapezium?

Use the area formula.

Formula: .

. . where . = height, = parallel sides.

Code:

b1

* * * * *

* *

18 * * 22

* *

* *

* *

* * * * * * * * * * *

b2

The perimeter is 104 m.

. .

We are given: .

Substitute into the formula . . .