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Question
A window is in the form of trapezium whose parallel sides are 105 cm and 50 cm respectively and the distance between the parallel sides is 60 cm. Find the cost of the glass used to cover the window at the rate of ₹ 15 per 100 sq.cm
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Solution
Given the parallel sides a = 105 cm, b = 50 cm, Height = 60 cm
Area of the trapezium = `1/2` × h × (a + b) sq.units
= `1/2` × 60 × (105 + 50) cm2
= 30 × 155 cm2
= 4650 cm2
For 100 cm2 cost of glass used = ₹ 15
∴ For 4650 cm2 cost of glass = ₹ `4650/100 xx 15`
= ₹ 697.50
Cost of the glass used = ₹ 697.50
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