Question

the area of trapezium is 198cm^2. it parallel sides are in ratio 8:3and perpendicular distance between them is 12 cm . find the length of each parellel sides​

Answer 1

Answer:

Please go through the pic attached above. I have shown the step by step explanation.

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Answer 2

• The length of the parallel sides of the trapezium = 24 cm and 9 cm.

Explanation:

Given:

• The area of the trapezium is 198 cm sq.
• The altitude(perpendicular distance between the parallel sides) of the trapezium is 12 cm.
• The ratio of parallel sides of the trapezium is 8:3

To find:

Length of each parallel sides

• The formula to find the area of a trapezium is

= 1/2 * (Sum of parallel sides) * altitude

So,

• Let the parallel sides be 8x cm and 3x cm

⇒ 1/2 * (8x + 3x) * 12 = 198

⇒ 1/2 * (11x) * 12 = 198

⇒ 11x * 6 = 198

⇒ 66x = 198

⇒ x = 198 ÷ 66

[By transporting (66) to RHS]

⇒ x = 3

• So, the value of x is 3

Now,

The parallel sides of the trapezium are

• (8x) = 8 * 3 = 24 cm

And

• (3x) = 3 * 3 = 9 cm