Question

The area of trapezium is 1700 m². If one of the parallel sides is 64 m and the distance between the parallel sides is 34 m. Find the length of the other parallel side?​

Answer 1

Answer:

36 metres

Step-by-step explanation:

Let the other parallel side be x.

Area of trapezium= ½ × height × sum of parallel sides

Given area= 1700 m²

Putting the values in the formula,

1700 m²= ½ × 34 m × (64+x)

1700 m²= 17 m × (64+x)

1700 m²= 1088 m + 17x

17x= 1700-1088

17x= 612

x= 612/17

x= 36 m

Therefore, the length of the other parallel side is 36 metres.

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Answer 2

Answer:

The given area of trapezium = 1700m^2

Area of trapezium = 1/2 h (a+b)

so 1700m^2 = 1/2 × 34m × (64m+b)

Or, 64m + b = 1700m^2 × 2 / 34m

Or, 64m + b = 100m

Or, b = 100m - 64m

Or, b = 36 m

Hence the length of other parallel side of the trapezium is 36 m.