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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 m² and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

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NCERT Solutions for Class 8 Mathematics Chapter 11
Important NCERT Questions
Mensuration Chapter 8 Exercise 11.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 8

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1 Answer

  1. Given: Perpendicular distance (h) = 100 m
    Area of the trapezium shaped field = 10500 m²
    Let side along the road be x m and side along the river = 2x m
    ∴ Area of the trapezium field = 1/2(a+b)x7
    ⇒ 10500 = 1/2 (x+2x)x100 ⇒ 10500=3×50
    ⇒ 3x=10500/50 ⇒ x=10500/50×3 ⇒ x=70m
    Hence, the side along the river = 2x = 2 x 70 = 140 m.

    Class 8 Maths Chapter 11 Exercise 11.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/

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