Question

the area of trapezium is 28 cm square and one of its parallel sides is 6 cm if its altitude is 4 cm then its other parallel side is .

Answer 1

$\bf{Given\: : }$
Area of trapezium is 28 cm square,
one of its parallel side is 6 cm,
it's altitude (height) I'd 4 cm.

Let,
another parallel side of the trapezium be x.

We know that,

Area of trapezium = $\frac{ (sum \:of \:parallels)}{2} \times height$

=> 28 = $\frac{ ( x + 6 )}{2}$ × 4

=> 28 = ( x + 6 ) × 2

=> 28 = 2x + 12

=> 28 - 12 = 2x

=> 16 = 2x

=> $\frac{16}{2}$ = x

=> 8 = x

Hence,
another parallel side of the trapezium is $\bf{8 cm. }$

Answer 2

Given :
Area of a trapezium = 28cm²

1st parallel side = 6 cm

Height = 4 cm

To find = 2nd parallel side

Solution :

Area of trapezium = 28

½×[Sum of // sides]×height = 28

½×[2nd side+6]×4 = 28

[2nd side + 6] ×4 = 28×2

2nd side+6 = 28×2/4 = 28×1/2

2nd side +6 = 14

2nd side = 14-6 = 8

The required Value of 2 Nd side is 8 cm .

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