the two parallel sides and the distance between them are in the ratio 3:4:2 .If the area of the trapezium is 175cm^2; find its height
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lolet the sides be 3x and 4x
height be 2x
area of trapezium = 175cm^2
1/2 *h(a+b)=175
1/2*2x(3x+4x) = 175
1/2*2x*7x = 175
1/2*14x= 175
14x = 175*2
14x = 350
x = 350/14
x = 25
hence,
height = 2x = 2*25 = 50cm
height be 2x
area of trapezium = 175cm^2
1/2 *h(a+b)=175
1/2*2x(3x+4x) = 175
1/2*2x*7x = 175
1/2*14x= 175
14x = 175*2
14x = 350
x = 350/14
x = 25
hence,
height = 2x = 2*25 = 50cm
tricky7:
actually your answer is wrong it should be 10cm.
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