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The area of a field in the shape of a trapezium is 368 m2. The distance between its two parallel sides…

The other parallel side is 24 m. Area of a trapezium = ½ × (sum of parallel sides) × distance between them, so 368 = ½ × (22 + x) × 16 = 8(22 + x). Hence 22 + x = 46 and x =…

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The area of a field in the shape of a trapezium is 368 m2. The distance between its two parallel sides is 16 m and one of the parallel sides is 22 m. Find the other parallel side.

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The other parallel side is 24 m. Area of a trapezium = ½ × (sum of parallel sides) × distance between them, so 368 = ½ × (22 + x) × 16 = 8(22 + x). Hence 22 + x = 46 and x = 24 m. A value of 22 m would make the figure a parallelogram with area 352 m2, not 368 m2.

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