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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. - CBSE Class 8 - Mathematics

ConceptArea of Trapezium

#### 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.

#### Solution

It is given that,area of trapezium = 34 cm2 and height = 4 cm

Let the length of one parallel side be a. We know that,

Area of trapezium = 1/2 (Sum of parallel sides) × (Distances between parallel sides)

34 cm^2  = 1/2 (10 cm + a) xx (4 cm)

34 cm - 2(10 cm + a)

17 cm = 10 cm + a

a = 17 cm - 10cm = 7 cm

Thus, the length of the other parallel side is 7 cm.

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 11: Mensuration
Ex. 11.20 | Q: 2 | Page no. 178

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Solution 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. Concept: Area of Trapezium.
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