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To find the area of the trapezium, we can use Brahmagupta's formula for the area of a cyclic quadrilateral, as the non-parallel sides suggest it can be inscribed in a circle. First, we calculate the semi-perimeter ( s = \frac{60 + 77 + 25 + 26}{2} = 94 ) cm. The area ( A ) can then be calculated as:

[ A = \sqrt{(s - a)(s - b)(s - c)(s - d)} = \sqrt{(94 - 60)(94 - 77)(94 - 25)(94 - 26)} = \sqrt{34 \times 17 \times 69 \times 68} \text{ cm}^2. ]

This yields an area of approximately 1320 cm².

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3d ago

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Two parallel sides of the trapezium are 10m and 22m whose non parallel sides are 13m and 14m find the area of trapezium?

200.106m2


Area of the trapezium is?

Let the two parallel sides be a and b, and the distance between them, the height of the trapezium, be h. Then: area of trapezium = 1/2 (a+b) h That is half the sum of the two parallel sides times the height of the trapezium.


Area of trapezium?

Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA


What are the properties of height and trapezium?

The area of a trapezium is found because: 0.5*(sum of parallel sides)*height = area


What is the formaula for the area of a trapezium?

If the two parallel side of the trapezium are a and b and height of the trapezium (the distance between the parallel sides) is h then the area is given by:Area = 1/2 (a + b) x hHalf the sum of the lengths of the parallel sides times the distance between them.


Formula for area of trapezium?

Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA


How do you work out the area of trapezium?

Area = 1/2*(sum of the parallel sides)*height


How do you work out the area of a trapezuim?

Area of a trapezium = 0.5*(sum of parallel sides)*height


What are the characteristics of a trapezium?

has two parallel sideshas four straight linesThe area of the trapezium is given by the following formula where a and b are the lengths of the parallel sides and h is the perpendicular distance between the parallel sides.


What is altitude of trapezium?

The altitude of a trapezium (or trapezoid) is the perpendicular distance between its two parallel sides. It is the shortest distance between these sides and is essential for calculating the area of the trapezium using the formula: Area = (1/2) × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides.


How do you find the parallel sides of trapezium if we know the area and the length?

A trapezium has a pair of parallel sides of different lengths so in order to find its 2nd parallel side the information given must include its height.


How is the formula for the area of a trapezoid related to a parallelogram?

Suppose you have a trapezium whose parallel sides (bases) are of lengths A and B units, and where the height is h units If you flip a trapezium over and append it to the original along one of the bases you will have a parallelogram whose base is A+B units in length and whose height is h units. So 2*Area of trapezium = Area of parallelogram = (A + B)*h