A rhombus sheet whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs.5 per sq. m. Find the cost of painting.
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Side AB = perimeter/ 4 = 32/4 = 8 cm.
Diagonal AC = 10m.
Area = AC × BD / 2 cm^2
Area of both sides = AC × BD = 10 BD cm^2
cost of painting both sides = ₹ 10 BD * 5 = ₹ 50 BD
In a Rhombus, AC² + BD² = 4 AB².
BD² = 4 * 8² - 10² = 156
BD = 2 √39 m
Cost = ₹ 100 √39 = ₹ 624.50
Diagonal AC = 10m.
Area = AC × BD / 2 cm^2
Area of both sides = AC × BD = 10 BD cm^2
cost of painting both sides = ₹ 10 BD * 5 = ₹ 50 BD
In a Rhombus, AC² + BD² = 4 AB².
BD² = 4 * 8² - 10² = 156
BD = 2 √39 m
Cost = ₹ 100 √39 = ₹ 624.50
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