Question

The area of a trapezium of altitude 3m is 24 sq. metre. If one of the parallel sides is 2 m more than the other, then find the lengths of parallel sides of trapezium.​

Answer 1

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Answer 2

Given :

⬤ Area of Trapezium of altitude 3m is 24 m² .

⬤ One of the parallel sides is 2 m more than other.

To Find :

⬤ Length or Parallel Sides of trapezium .

Formula Used :

$\small\sf[\:{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:all\:Parallel\:Sides)}\times{h}\:]}$

Solution :

Let :

• Length of one Parallel Side be = x .
• Length of Another Parallel Side be = x+2 .

Now :

According to the Formula :

24 = 1/2 × (x + x + 2) × 3

24 = 1/2 × (2x + 2) × 3

24 × 2 = 6x + 6

48 = 6x + 6

48 - 6 = 6x

42 = 6x

x = 42/6

x = 7

Therefore , The Value of x is 7 .

Hence ,

Length of One Parallel Side = x

= 7

Length of Another Parallel Side = x + 2

= 7 + 2

= 9

Hence , The length of Parallel Sides of Trapezium are m and 9 m .