Question

The area of a trapezium is 54 cm square.The length of one of the parallel sides is 8 cm and the height is 6 cm. Find the length of the other parallel side.

Answer 1

area of trapezium =
$\frac{1}{2} \times (a + b) \times h$
putting the values given in the question,
$\frac{1}{2} \times (8 + b) \times 6 = 54 \\ (8 + b) = \frac{54}{6} \times \frac{2}{1} \\ (8 + b) = 18 \\ b = 10$
second side will be of 10 cm

PLZ MÅRK ÏT THË BRÅÏÑLĪÊST ÂÑSWĒR.

Answer 2

Heya mate !!

Here is your answer :--
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Area of trapezium = 54 cm

And height = 6 cm

Lenght of one parallel side = 8 cm
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● Let the length of other parallel side be = " x " cm.

Then, according to the question :--

Area of trapezium = 1/2 ( sum of the parallel side ) ( distance between them )

By putting values,

======> 1/2 ( 8 + x ) × 6 cm

======> 1/2 ( 48 + 6x ) cm

======> 24 + 3x

● But the area of trapezium = 54 cm

So, we get :--

======> 24 + 3x = 54

======> 3x = 30

======> x = 10

● So, the length of the other parallel side will be 10 cm.

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Hope it helps...!!