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If the perimeter of a trapezium is 52cm,...

If the perimeter of a trapezium is `52cm`, its nonparallel sides are equal to `10cm` each and its altitude is `8cm,` find the area of the trapezium.

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Given
perimeter of a trapezium `=53cm`
non parallel sides are equal to `10cm` each and altitude is `8cm` .
Now sum of parallel sides `+`sum of non parallel sides`=53` .
sum of parallel sides `+10+10=53`.
sum of parallel sides `=53-20 =33cm` .
area of trapezium `=(1/2)xx`(sum of parallel sides)`xx`altitude.
area of trapezium `=(1/2)xx33xx8`.
area of trapizium `=132cm^2`.
Hence we get required result.
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