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The Cross-section of a Canal is a Trapezium in Shape. If the Canal is 10 M Wide at the Top 6 M Wide at the Bottom and the Area of Cross-section is 72 M2 Determine Its Depth. - Mathematics

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ConceptArea of Trapezium

Question

The cross-section of a canal is a trapezium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is 72 m2 determine its depth.

Solution

Let the depth of canal bed.
Given:
Lengths of the parallel sides of the trapezium shape canal are 10 m and 6 m.
And, the area of the cross section of the canal is 72 m2 .
Area of trapezium \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })\]
\[72 = \frac{1}{2} \times (10+6)\times(d)\]
\[72 = 8\times d\]
\[d =\frac{72}{8}= 9 m\]

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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: 11 | Page no. 23

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Solution The Cross-section of a Canal is a Trapezium in Shape. If the Canal is 10 M Wide at the Top 6 M Wide at the Bottom and the Area of Cross-section is 72 M2 Determine Its Depth. Concept: Area of Trapezium.
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