Question

If the area of a trapizium is 34 cm square and the length of one of the parallel sides is 10 cm and its height is 4 cm. The length of the other parallel side is ...solve this ​

Answer 1

Given :

⬤ Area of Trapezium is 34 cm² .

⬤ Length of one of the Parallel Sides is 10 cm .

⬤ Height of the Trapezium is 4 cm.

To Find :

⬤ Length of the Other Parallel Side of Trapezium .

Formula Used :

$\bf[\:{Area\:of\: Trapezium=\dfrac{1}{2}\times{(Sum\:of\:Parallel\:Side}\times{h}}\:]$

• h = height

Solution :

Let :

• Other Parallel Side be x .

Now :

According to the Formula :-

34 = 1/2 × (10 + x) × 4

34 × 2 = (10 + x) × 4

68 = 40 + 4x

68 - 40 = 4x

28 = 4x

28/4 = x

7 = x

Therefore , The Length of other Parallel Side of Trapezium is 7 cm .

Check :

34 = 1/2 × (10 + x) × 4

34 = 17 × 2

34 = 34

Hence Checked .