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9 September, 09:07

The expression (6x+18) represents the area of the model below. Which expression could NOT represent the dimensions of the model?

A) 3 (x+6)

B) 6 (x+3)

C) 0.5 (12x+36)

D) 0.25 (24x_72)

(the model is one box that says 6x, and a box next to it/connected that has 18 in it.)

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  1. 9 September, 12:25
    0
    A) 3 (x+6)

    Step-by-step explanation:

    Given,

    The area of the model = (6x+18)

    If the dimensions of the model are, x unit * y unit,

    Then,

    xy = 6x + 18

    If x = 3, y = x + 6

    3 (x+6) = 3x + 18 (by distributive property)

    ∴ Option A doesn't represent the dimensions of the model,

    If x = 6, y = x + 3

    6 (x+3) = 6x + 18

    ∴ Option B represents the dimensions of the model,

    If x = 0.5, y = 12x+36

    0.5 (12x+36) = 6x + 18

    ∴ Option C represents the dimensions of the model,

    If x = 0.25, y = 24x + 72

    0.25 (24x+72) = 6x+18

    ∴ Option D represents the dimensions of the model,
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