The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that repre

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The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that represents the length of the room

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Nick 5 years 2021-08-26T18:44:36+00:00 1 Answers 11 views 0

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  1. Bo
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    2021-08-26T18:45:36+00:00
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    Answer:

    l = (3x+5)

    Step-by-step explanation:

    Given that,

    The area of a room, A=3x^2-x-10

    The width of the room, b=(x-2)

    We need to find the length of the room.

    The area of the room is given by :

    A = lb

    l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)

    So, the length of the room is equal to (3x+5).

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