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The cross section of a canal is a trapezium in shape. If the canal is 26 meters wide at the top and 40 meters at the bottom and the area of the canal is 264 m2. Find the height of the canal.

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The cross section of a canal is a trapezium in shape. If the canal is 26 meters wide at the top and 40 meters at the bottom and the area of the canal is 264 m2. Find the height of the canal.


1).

12m


2).

18m


3).

24m


4).

8m


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1 answers

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Answered by on | Votes 0 |

$(\eqalign{ & Area\ of\ a\ trapezium = \frac{1}{2}\left( {sum\ of\ the\ lentghs\ of\ parellal\ lines} \right) \times distance\ between\ parellal\ lines \cr & Area\ of\ trapezium = \frac{1}{2}\left( {26 + 40} \right) \times h \cr})$

∴ 264 × 2 = 66 × h

Hence, height of the canal = 8m.

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