Question

The parallel sides of a trapezium are 45.8 cm and 81.2 cm and the distance between them is 22 cm. Find the area of the trapezium.

(a) 3197 cm²
(b) 1937 cm²
(c) 1397 cm²
(d) 139.7 cm²​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• Two Parallel sides of a trapezium are 45.8cm and 81.2cm.
• Distance between the parallel sides is 22cm.

To Find :

• Area of Trapezium.

Solution :

As Given that the distance between the parallel sides is 22cm .So ,

$\longmapsto\tt{Height\:of\:Trapezium=22cm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Trapezium=\dfrac{1}{2}\times{Sum\:of\:parallel\:sides}\times{h}}$

Putting Values :

$\longmapsto\tt{\dfrac{1}{2}\times{(45.8+81.2)}\times{22}}$

$\longmapsto\tt{\dfrac{1}{\cancel{2}}\times{127}\times{\cancel{22}}}$

$\longmapsto\tt{127\times{11}}$

$\longmapsto\tt\bold{1397{cm}^{2}}$

So , The Area of Trapezium is 1397cm²...

Option c) 1397cm² is correct...

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Properties of Trapezium :

• A trapezium has two non-parallel and two parallel sides.
• Diagonals of trapezium bisects each other.
• Sum of all the angles of a trapezium is 360°.

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