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Transcript

Ex 9.1, 8 Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 𝑚^2and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.Given, Area of Trapezium = 10500 m2 Height = Perpendicular distance between Parallel sides = 100 m Also, Side along the river is twice the side along the road Let Side along the road = x m ∴ Side along the river = Twice of x = 2x Now, Area of Trapezuim = 𝟏/𝟐 × (Sum of Parallel sides) × Height 10500 = 1/2 × (Sum of Parallel sides) × Height 10500 = 𝟏/𝟐 × (x + 2x) × 100 10500 = (3x) × 50 10500 = 150x 10500/150 = x 70 = x x = 70 ∴ Side along the record = x = 70 m & Side along the river = 2x = 2 × 70 = 140 m

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.