heya friends plzz solve this question no.40 friends ☺❤☺❤☺❤
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hope it helps you...
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Devil8161:
thanks sis right answer
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Let the length of two parallel sides be x and y.
Given that the difference between them is 8cm.
= > x - y = 8 ------ (1)
Given that perpendicular distance between them is 24cm and area = 312cm^2.
We know that Area of trapezium = (1/2) * (sum of parallel sides) * h
= > 312 = (1/2) * (x + y) * 24
= > 312 = (x + y) * 12
= > (x + y) = 26 ---------- (2)
----------------------------------------------------------------------------------------------------------------
On solving (1) & (2), we get
= > x - y = 8
= > x + y = 26
-----------------
2x = 34
x = 17.
Substitute x = 17 in (1), we get
= > x - y = 8
= > 17 - y = 8
= > y = 9cm.
Therefore, the length of each of the parallel sides = 17cm and 9cm.
Hope it helps!
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