Parker is planning to build a playhouse for his sister. The scaled model below gives the reduced measures for width and height.

Parker is planning to build a playhouse for his sister. The scaled model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height? (3.5) (10) = 3.5 x (3.5) (22) = 3.5 x (10) (3.5) = 22 x (1) (22) = 3.5 x

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  1. The cross multiplication of the proportion he should use to find the height of the playhouse is [tex]H=\frac{3.5y}{x}[/tex]

    Step-by-step explanation:

    Since we have given that

    Width of the playhouse = 3.5 m

    Let the height of the playhouse be 'H'.

    If Parker wants to keep the playhouse in proportion to the model.

    Let the width of the model be 'x.

    Let the height of the model be 'y'.

    So, the proportion becomes,

    [tex]\frac{W}{H}=\frac{x}{y}\\\\\frac{3.5}{H}=\frac{x}{y}\\\\H=\frac{3.5y}{x}[/tex]

    Hence, the cross multiplication of the proportion he should use to find the height of the playhouse is [tex]H=\frac{3.5y}{x}[/tex]

  2.  define
    W= width playhouse real=3.5
    H= height playhouse real

    x=width playhouse model
    y=height playhouse model
    therefore

    H/W=y/x>H=y*W/x>H=3.5*y/x

    The answer is 3.5*y/x to find the height H

  3. The cross multiplication would be 10(350) = 22(x).

    Step-by-step explanation:

    We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

    The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

    10/22 = x/350

    Cross multiplying, we would have 10(350) = 22(x).

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