The area of a trapezium is 768cm^2.its altitude is 16cm and one of the parallel sides is 10cm longer than the other. find the length of the parallel sides
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Given
Area of trapezium(A) =768cm ²
Altitude (h) =16cm
Let One of the parallel side(d1) = x
Then other side (d2) =x+10
As we know area of trapezium = h/2 ( sum of parallel side)
=h/2 (d1+ d2)
768=16/2 (x+x+10)
768=8(2x+10)
768/8=2x+10
96=2x+10
2x=96-10
X=86/2
X=43cm
Length of one side =43cm
Length of other side =43+10=53cm
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Area of trapezium(A) =768cm ²
Altitude (h) =16cm
Let One of the parallel side(d1) = x
Then other side (d2) =x+10
As we know area of trapezium = h/2 ( sum of parallel side)
=h/2 (d1+ d2)
768=16/2 (x+x+10)
768=8(2x+10)
768/8=2x+10
96=2x+10
2x=96-10
X=86/2
X=43cm
Length of one side =43cm
Length of other side =43+10=53cm
This is your ans hope it will help you in case of any doubt comment below
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