Question

The area of a trapezium is 1,586 cm² and sum of parallel sides is 122 cm. Find the
distance between two parallel sides.​

Answer 1

Answer:

the distance between two parallel sides are 26cm

Answer 2

Given : Area of a trapezium is 1586cm² and sum of the parallel sides is 122m .

To Find : Distance between the two parallel sides.

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Here

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• Area of the trapezium is 1586cm².
• Sum of the parallel sides is 122cm

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As we know that :

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$\underline{\boxed{\sf\purple{\bigstar \: area \: of \: a \: trapezium = \frac{1}{2} \times sum \: of \: parallel \: sides \: \times distance \: between \: them}}}$

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Now we'll put the values of the given information in the formula and solve this.

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Put the values and solve -

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$\sf:\implies \: area \: of \: the \: trapezium \: = \dfrac{1}{2} \times sum \: of \: parallel \: sides \: \times distance \\ \\ \\ \sf:\implies \: 1586 = \frac{1}{2} \times 122 \times distance \\ \\ \\ \sf:\implies \: 1586 = \cancel\frac{122}{2} \times distance \\ \\ \\ \sf:\implies \: 1586 = 61 \times distance \\ \\ \\ \sf:\implies \: distance = \cancel\frac{1586}{61} \\ \\ \\\sf:\implies distance =\underline{\boxed{\sf\purple{26cm}}} \bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: distance \: between \: the \: parallel \: sides \: is \: \bold{26cm}}}$