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The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

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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: 4

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1 Answer

  1. Here h₁ = 13 m, h₂ = 8 m and AC = 24 m
    Area of quadrilateral ABCD
    = Area of ∆ABC + Area of ∆ADC
    = 1/2bxh₁+1/2bxh₂
    = 1/2b(h₁+h₂)
    = 1/2x24x(13+8)=1/2x24x21=252m²
    Hence, required area of the field is 252 m².

    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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