the area of trapezium is 15.4 metre square if one of parallel side is 5 less than twice the other parallel sides and distance between them is 1.4 M find the length of both of the parallel sides
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Area of trapezium
A = (1/2) * sum of ∥ sides * height
A = (1/2)* ( a + b ) * h
A = 15.4 m²
a = 2b - 5 , h = 1.4 m
15.4 = (1/2) * ( 2b - 5 + b ) * 1.4
30.8 = (3b - 5 ) * 1.4
308/14 = 3b - 5
22 + 5 = 3b
b = 9 m , a = 2b - 5 = 18 -5 = 13
Length of ∥ sides = 9m and 13m
A = (1/2) * sum of ∥ sides * height
A = (1/2)* ( a + b ) * h
A = 15.4 m²
a = 2b - 5 , h = 1.4 m
15.4 = (1/2) * ( 2b - 5 + b ) * 1.4
30.8 = (3b - 5 ) * 1.4
308/14 = 3b - 5
22 + 5 = 3b
b = 9 m , a = 2b - 5 = 18 -5 = 13
Length of ∥ sides = 9m and 13m
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