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Question

The area of a trapezium is 384 cm2.Its parallel sides are in the ratio 3:5 and the perpendicular distance between them is 12 cm.Find the length of each of the parallel sides.


Solution

Area of trapezium=384 cm2

Perpendicular distance (h)=12 cm

 Sum of parallel sides=Area×2height=384×212=64 cmRatio in parallel sides=3:5Let first side=3x then second side=5x 3x+5x=64 cm8x=64 cmx=648=8 cm First parallel side=8×3=24 cm  Second side =8×5=40 cm

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