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the area of a trapezium is 34 cm sq and it's height is 4 cm. one of the parallel sides of the trapezium is 10 cm, find the other parallel side.
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Answer:
Let the length of the other parallel side be b.
Length of one parallel side (a) = 10 am and height (h) = 4 cm
Area of trapezium = 1/2 (a+b)xh
⇒ 34=1/2(10+b)x4 ⇒ 34 = (10+b)x2
⇒ 34=20+2b ⇒ 34-20=2b
⇒ 14=2b ⇒ 7=b ⇒ b=7
Hence, the another required parallel side is 7 cm
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7 is the answer...
as, let area= a
so a= 1/2 (a+b)h
where, a and b are parallel sides...
h is height...so
34= 1/2(10+b)4
so, 34 = 20 + 2b
34-20=2b
14= 2b
b =7
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