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The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side. - Mathematics

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Question

The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Sum

Solution

Area of trapezium = 34 cm

Let the length of the first parallel side = a

Length of second parallel side = b.

Given a = 10 cm

And height (h) = 4 cm

Area of trapezium =12(a + b) × h

34 = 12(10 + b) × 4

or 34 = 20 + 2b

or 34 − 20 = 2b

or 14 = 2b

or 7 = b

Hence, length of the second parallel side = 7 cm

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Chapter 11: Mensuration - Exercise 11.2 [Page 178]

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NCERT Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise 11.2 | Q 2 | Page 178

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