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16 December, 15:25

Un apartaestudio de forma cuadrada mide 2x+3y de lado como se muestra en la figura 2.24

Cual es el área total del apartaestudio?

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  1. 16 December, 15:34
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    4x^2+12x+9y^2

    Step-by-step explanation:

    the area of a square = L^2

    L = Side

    in this case L = 2x+3y

    the area of a square = (2x+3y) ^2 = (2x+3y) * (2x+3y)

    we apply distributive property:

    (2x+3y) * (2x+3y) = 2x*2x+2x*3y+3y*2x+3y*3y

    (2x+3y) * (2x+3y) = 4x^2+6xy+6xy+9y^2

    finally we have:

    (2x+3y) * (2x+3y) = 4x^2+12xy+9y^2

    the area of a square = 4x^2+12xy+9y^2
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