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A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?

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NCERT Solutions for Class 7 Mathematics Chapter 11
Important NCERT Questions
Class vii Math Chapter 11 Perimeter and Area Exercise 11.1
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 6

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1 Answer

  1. According to the question,
    Perimeter of square = Perimeter of rectangle
    ⇒ 4 x side = 2 (length + breadth)
    ⇒ 4 x side = 2 (40 + 22)
    ⇒ 4 x side = 2 x 62
    ⇒ side = 2×62 = 31
    Thus, the side of the square is 31 cm.
    Now, Area of rectangle = length x breadth = 40 x 22 = 880 cm²
    And Area of square = side x side = 31 x 31 = 961 cm²
    Therefore, on comparing, the area of square is greater than that of rectangle.

    Class 7 Maths Chapter 11 Exercise 11.1

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-11/

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