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Top Surface of a Table is Trapezium in Shape. Find Its Area If Its Parallel Sides Are 1 M and 1.2 M and Perpendicular Distance Between Them is 0.8 M.

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Question

Top surface of a table is trapezium in shape. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

Sum
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Solution

The given figure is:

Lengths of the parallel sides are 1.2 m and 1 m and the perpendicular distance between them is 0.8 m.

∴ Area of the trapezium shaped surface \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance })\]

\[ = \frac{1}{2} \times (1 . 2 + 1) \times (0 . 8)\]

\[=\frac{1}{2}\times2.2\times0.8\]

\[ {=0.88 m}^2\]

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