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Question

The area of a trapezium with height 14cm is 504cm2. If the parallel sides are in the ratio 4:5, find their lengths.
  1. 30cm,42cm.
  2. 32cm,40cm.
  3. 32cm,42cm.
  4. 30cm,40cm.

A
32cm,40cm.
B
30cm,42cm.
C
32cm,42cm.
D
30cm,40cm.
Solution
Verified by Toppr

Area of trapezium=12(sum of parallel opposite side)(height)
Let parallel side are 4x,5x
504=12(4x+5x)(14)
(504)(2)9(14)=x
x=8
side of one side=4(8)=32cm,5(8)=40cm

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