Question

The parallel sides of a Trapezium are 6 metre and 8 metre long if the area of trapezium is 35 metre square find the distance between the parallel sides of trapezium​

Answer 1

Answer:

• Distance between parallel sides of trapezium is 5 m.

Step-by-step explanation:

Given :-

• Parallel sides of trapezium are 6 m and 8 m.
• Area of trapezium is 35 m².

To find :-

• Distance between the parallel sides of trapezium.

Solution :-

We know,

Area of trapezium = (a + b)/2 × h

Where,

• a and b are parallel sides.
• h is height or distance between parallel sides of trapezium.

Put, Values in formula :

⇒35 = (6 + 8)/2 × h

⇒35 = 14/2 × h

⇒35 × 2 = 14 × h

⇒70 = 14 × h

⇒70/14 = h

⇒h = 5

Therefore,

Distance between parallel sides is 5 m.

Answer 2

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Q) The parallel sides of a Trapezium are 6 metre and 8 metre long if area of the trapezium is 35 m². Find the distance between the parallel sides of trapezium .

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☆ Given :

• The parallel sides are 6 m & 8 m .
• Area = 35 m²

☆ To Find :

• The distance between the parallel sides .

☆ Solution :

The distance between the parallel sides is the height .

Using the Formula of area -

$\boxed{ \rm \: area _{trapezium} = \frac{1}{2} \times sum \: of \: parallel \: sides \times height }$

Put the values here ..

$\rm \rightarrow \: 35 \: {m}^{2} = \frac{1}{2} \times (6 + 8)m \times h$

$\mapsto \rm \: 35 \: m = \frac{1}{ \cancel2} \times \cancel{14} \times h$

$\rightarrow \rm \: \cancel{35} \: m = \cancel7 \times h$

$\longrightarrow \boxed{ \purple{ \rm \: height = 5 \: m}}$

So ,

The distance between the parallel sides would be 5 m .

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☆ Know more :

• Trapezium is a four sided figure / Quadriteral .

• Area of trapezium = $\dfrac{1}{2}× sum \;of\; parallel\;sides×height$

• Perimeter of trapezium = sum of all sides .

• The unit of area is - unit² .

• The unit of Perimeter is - unit .