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30 November, 22:37

The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width

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Answers (1)
  1. 1 December, 00:57
    0
    Length of Rectangle = 4 cm And

    Width of Rectangle = 1.9 cm

    Step-by-step explanation:

    Given as:

    The perimeter of rectangle = 20.2 cm

    The area of rectangle is 24.4 cm

    Let the length be L

    And width be w

    Now Area of rectangle = Length * width

    Or, 24.4 = L * W

    And Perimeter = 2 (Length + Width) = 2 (L + W)

    Or, 20.2 = 2 (L + W)

    Or, L + W = 10.1 cm ... 1

    Now, (L - W) ² = (L + W) ² - 4 LW

    Or, (L - W) ² = (10.1) ² - 4 (24.4)

    I. e (L - W) ² = 4.41

    Or, L - W = 2.1 cm ... 2

    SO, From 1 and 2

    (L + W) + (L - W) = 10.1 cm - 2.1 cm

    Or, 2L = 8

    ∴ Length = 4 cm

    Again, Width = 4 cm - 2.1 cm = 1.9 cm

    Hence Length of Rectangle = 4 cm And

    Width of Rectangle = 1.9 cm Answer
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