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A trapezium with a height of 5.5 cm has an area of 165 cm2. If the sum of the lengths of the non-parallel sides is 14 cm, find the perimeter of the trapezium.1). 44 cm2). 54 cm3). 64 cm4). 74 cm |
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Answer» AREA of a trapezium = ½ × HEIGHT of trapezium × (sum of LENGTHS of parallel sides) ⇒ 165 = ½ × 5.5 × (sum of lengths of parallel sides) ⇒ Sum of lengths of parallel sides = (165 × 2)/5.5 = 60 cm ∴ PERIMETER of trapezium = sum of lengths of parallel sides + sum of lengths of non-parallel sides = 60 + 14 = 74 cm |
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