Question

134. The area of a trapezium is 1586 cm and the dis-
tance between its parallel sides is 26 cm. If one
of the parallel sides is 84 cm, find the other.
​

Answer 1

Area of a trapezium = 1586 cm

Distance between parallel sides = 26

A ([]) =1/2 x sum of length of parallel side x distance between them

1586.=1/2 x sum x 26

1586/13=sum

Sum of length of parallel side =122 cm

Other side =122 - 84 =38 cm

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Answer 2

Answer:38

Step-by-step explanation:

Area of trapezium=1\2 ×(a+b)×height

Let the other parallel side be' y'

Using the formula,

1586=1\2×(84+y)×26

1586=(84+y)×13{by cancelling 2 and 26}

1586=1092+13y

1586-1092=13y

494=13y

y=494÷13

y=38

Therefore,other parallel side of trapezium=38cm.

Hope, you're satisfied