Diagonals of a Rhombus Bisect Each-Other at Right Angles
a rhombus she...
Question
a rhombus sheet , whose perimeter is 32 m and one of whose diagonal is 10 m long is painted on both sides at the rate of Rs 5 per m sq. find the cost of painting
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Solution
Perimeter = 4 a = 32 => side (a)= 8m diagonal (c) = 10m to find other diagonal (d). Then area = (c d) / 2 cost of painting both sides = 2 * (c d / 2) * 5 Rs
In a Rhombus, c² + d² = 4 a² and c² + d² = 4a² so d² = 4 * 8² - 10² = 156 d = 2 √39 m Cost = 100√39 Rs.