Question

The two parallel sides of a trapezium are 10cm and 22cm. If its height is 12cm, what is its area? *​

Answer 1

Given

Length of two parallel sides of trapezium are 10cm & 22cm respectively.

Height of the trapezium is 12cm

To Find

We have to find the area of Trapezium

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Since, height and parallel sides are given so,we can easily calculate it's area with the help of formula.

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Area of Trapezium=( x+y)× h ÷ 2

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Where ,x and y are parallel sides and h is the height of the trapezium.

➙Area of trapezium= (10+22)× 12 ÷ 2

➙Area of trapezium= (32×12)÷2

➙Area of trapezium=384÷2

➙Area of trapezium=192

Hence,area of Trapezium is 192cm²

Extra information=>

Area is Space or region which is covered by a solid object/figure it is said to be area of that object.

Area depends upon the dimensions of the figure.If dimensions is larger then larger will be the area of that object/figure and vice -versa.

Property of Trapezium:

• Trapezium having two parallel sides and two non-parallel sides.
• Sum of all the angles in a trapezium is 360°.

Answer 2

Answer:

Area of trapezium=1/2*h(a+b)

=1/2*12*(10+22)

=6*32

=192 sq cm.