Question

The area of a trapezium is 1080cm square if the length of its parallel sides be 55cm and 35cm find the distance between them

Answer 1

Hope this is clear..

Answer 2

$let \: the \: height \: of \: trapezium \: be \: h \\ length \: of \: one \: of \: its \: parallel \: side \: = 55cm \\ length \: of \: other \: of \: the \: parallel \: side = 35cm \\ \\ area \: of \: trapezium \: = \frac{1}{2}(sum \: of \: parallel \: sides)h \\ = > 1080 = \frac{1}{2}(55 + 35) h \\ = > 1080 = \frac{1}{2}(90)h \\ = > \frac{1080 \times 2}{90} = h \\ = > 24 = h \\ \\ height \: of \: the \: trapezium \: is \: 24cm$
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