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The Shape of the Cross Section of a Canal is a Trapezium. If the Canal is 10 M Wide at the Top, 6 M Wide at the Bottom and the Area of Its Cross Section Is `640m^2` , Find the Depth of the Canal. - Mathematics

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Question

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of its cross section is  `640m^2` , find the depth of the canal. 

 

Solution

 

Area of the trapezium=`1/2xx"(Sum of the parallel sides)"xx"(Distance between the parallel sides)"` 

⇒`640=1/2xx(10+6)xxh` 

⇒`1280/16=h` 

⇒`h=80m` 

Therefore, the depth of the canal is 80 m.

 

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Chapter 17: Perimeter and Areas of Plane Figures - Exercises 2

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RS Aggarwal Mathematics [English] Class 10
Chapter 17 Perimeter and Areas of Plane Figures
Exercises 2 | Q 36
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