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Question
A ground is in the form of isosceles trapezium with parallel sides measuring 42 m and 36 m long. The distance between the parallel sides is 30 m. Find the cost of levelling it at the rate of ₹ 135 per sq.m
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Solution
Parallel sides of the trapezium a = 42 m, b = 36 m
Also height h = 30 m
Area of the trapezium = `1/2` × h × (a + b) sq.unit
= `1/2` × 30 × (42 + 36) m2
= `1/2` × 30 × 78 m2
Area = 1,170 m2
Cost of levelling 1 m2 = ₹ 135
∴ Cost of levelling 1170 m2
= ₹ 1170 × ₹ 135
= ₹ 1,57,950
Cost of levelling the ground = ₹ 1,57,950
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