Question

the ratio of the length of parallel sides of a trapezium is 5:3 and the distance between them is 16cm.if the area of trapezium is 960 cm find the lenth of the parallel sides​

Answer 1

Let it's parallel sides be 5x and 3x

height=16cm

area of trap. = 960 sq.cm

$area \: of \: trap. = \frac{1}{2} \times sum \: of \: parallel \: sides \: \times h \\ 960 = \frac{1}{2} \times (5x + 3x) \times 16 \\ 960 = 8x \times 8 \\ x = \frac{960}{64} \\ x = 15 \\ first \: side \: = 5 \times 15 = 75cm \\ second \: side \: = 3 \times 15 = 45cm$

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