Area of a rectangle

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A rectangle has a perimeter of 20cm. Its length is 2cm longer than its width What is the rectangle’s area

Comments

  1. Zuzi1 January 2024 at 16:54

    Answer: 24cm2

    We can use algebra to solve this:

    The width of the rectangle is "x" cm and the length is "x+2" cm,

    perimeter = a + a + b + b, in our case we have "x" and "x+2" instead of "a" and "b",

    so

    x + x + (x + 2) + (x + 2) = 20cm

    4x + 4 = 20cm

    4x = 16cm

    x = 4cm

    so the shorter side (i.e. the width) is 4cm, and the length is 6cm (2cm longer)

    AREA = a x b

    4 x 6 = 24 centimetres squared

    The answer is 24 centimetres squared.

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