Short Note
Sum
The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.
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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 \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })\]
\[72 = \frac{1}{2} \times (10+6)\times (d)\]
\[72 = 8\times d\]
\[d =\frac{72}{8}= 9 m\]
Concept: Area of Trapezium
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