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Find the Sum of the Lengths of the Bases of a Trapezium Whose Area is 4.2 M2 and Whose Height is 280 Cm. - Mathematics

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ConceptArea of Trapezium

Question

Find the sum of the lengths of the bases of a trapezium whose area is 4.2 m2 and whose height is 280 cm.

Solution

Given:
Area of the trapezium = 4.2 m2 
Height = 280 cm \[=\frac{280}{100}m = 2.8 m\]
Area of trapezium\[= \frac{1}{2} \times(\text{ Sum of the parallel bases })\times(\text{ Height })\]
\[4.2 =\frac{1}{2}\times(\text{ Sum of the parallel bases })\times2.8\]
\[4 . 2 \times 2 = (\text{ Sum of the parallel bases })\times2.8\]
\[\text{ Sum of the parallel bases }= \frac{8 . 4}{2 . 8} = 3 m\]

 

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 20: Mensuration - I (Area of a Trapezium and a Polygon)
Ex. 20.2 | Q: 6 | Page no. 22

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Solution Find the Sum of the Lengths of the Bases of a Trapezium Whose Area is 4.2 M2 and Whose Height is 280 Cm. Concept: Area of Trapezium.
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