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A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

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NCERT Solutions for Class 8 Mathematics Chapter 11
Important NCERT Questions
Mensuration Chapter 8 Exercise 11
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 1

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1 Answer

  1. Given: The side of a square = 60 m
    And the length of rectangular field = 80 m
    According to question,
    Perimeter of rectangular field = Perimeter of square field
    ⇒ 2(l+b) = 4 x side ⇒ 2(80+b)=4×60
    ⇒ 160+2b=240 ⇒ 2b=240-160
    ⇒ 2b=80 ⇒ b=40 m
    Now Area of Square field = (side)² = (60)² =3600 m²
    And Area of Rectangular field = length x breadth = 80 x 40 = 3200 m²
    Hence, area of square field is larger.

    Class 8 Maths Chapter 11 Exercise 11.1 Solution in Video

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

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