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The cost to pave an equilateral triangle field at Rs. 14 per m2 is equal to the cost to fence the field at Rs. 30 per m. Find the side of the equilateral triangle field. 1). 12.66 m2). 14.85 m3). 16.25 m4). 17.14 m |
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Answer» Let the side of the equilateral triangle be ‘a’ m. Area of equilateral triangle = (√3/4) × a2 Cost to PAVE = 14 × area = 14 × (√3/4) × a2 = 6.06 a2 Perimeter of triangle = 3a Cost to fence = 30 × 3a = 90a ? Cost to pave = cost to fence ⇒ 6.06 a2 = 90a ⇒ a = 90/6.06 = 14.85 m |
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