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15 May, 10:38

A manufacturer makes rectangular blankets in several styles and sizes. The outline of a popular blanket in size A is shown below (Height - 2x-3cm, Width - 3x+7cm)

A. Write a polynomial expression in simplified form, that represents the perimeter of the blanket.

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  1. 15 May, 10:42
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    (10x + 8) is the polynomial expression for the perimeter of the blanket.

    Step-by-step explanation:

    The height and width of the rectangular blanket are (2x - 3) cm and (3x + 7) cm respectively.

    Now, the perimeter of a rectangle having height h and width w is given by

    P = 2h + 2w

    ⇒ P = 2 (2x - 3) + 2 (3x + 7)

    ⇒ P = 4x - 6 + 6x + 14

    ⇒ P = 10x + 8.

    So, this is the polynomial expression for the perimeter of the blanket. (Answer)
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