Question

the area of a trapezium is 340 cm square , the length of one of the parallel side is 20 cm and its heights is 20 cm .Find the length of the other parallel side​

Answer 1

Given :

⬤ Area of Trapezium is 340 cm².

⬤ Length of one Parallel Side is 20 cm .

⬤ Height of Trapezium is 20 cm.

To Find :

⬤ Length of other Parallel Side of Trapezium.

Formula Used :

$\bf[\:{Area \: of \: Trapezium = \dfrac{1}{2} \times{(Sum \: of \: Parallel \: Sides)} \times{height}}\:]$

Solution :

Let :

• Other Parallel Side of Trapezium be x .

According to the Formula :-

340 = 1/2 × (Sum of Parallel Sides) × h

340 = 1/2 × (20 + x) × 20

340 = 1/2 × (20 + x) × 10

340 = 200 + 10x

340 - 200 = 10x

140 = 10x

140/10 = x

14 = x

Therefore , The Length of Other Parallel Side of Trapezium is 14 cm.

Check :

340 = 1/2 × (20 + 14) × 20

340 = (20 + 14) × 10

340 = 34 × 10

340 = 340

Hence Checked .

Answer 2

Answer:

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