Question

one of the parallel sides of a trapezium is thrice the other . the area of the trapezium in 440cm² and its height in 22 cm .find the length of it's two parallel sides
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Answer 1

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• To find length of parallel sides of trapezium.

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Given :

• One of the parallel sides of trapezium is thirce the other.

• Area of trapezium is 440 cm²

• Height is 22 cm

Lets Do ::

${\underline{\bf{Area \: of \: trapezium= \frac{1}{2}×(a+b)×h}}}$

• H = height
• a and b are parallel sides

let , 2 parallel sides be x and 3 x

= 1/2 ×(a+b)×h = 440

= 1/2× (x+3x)×22 = 440

= 1/2 × 4x ×22 = 440

= 4x × 11 = 440

= 4x = 440/11

= 4x = 40

= x = 40/4

= x = 10

So, value of x is 10. So the parallel sides are 10 and 3×10 , 30 cm.

Let's verify ::

= 1/2 × (10+30)×22 = 440

= 1/2× 40×22 = 440

= 1/2 × 880 = 440

= 440 = 440

LHS = RHS

Thus Solved !!