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​ACT & SAT PRactice

Scale Drawing

12/20/2014

 
Your friend shows you a scale drawing of her apartment.  The drawing of the apartment is a rectangle 4 inches by 6 inches.  Your friend wants to know the length of the shorter side of the apartment.  If she knows that the length of the longer side of the apartment is 30 feet, how many feet long is the shorter side of her apartment?
A.)  9
B.)  20
C.)  24
D.)  30
E.)  45

Set up a proportion:

4 inches              x feet
------------    =    -----------    {short side over long side in scale equals short side over long side in actual}
6 inches             30 feet

6x = 120   {cross-multiplied}
x = 20   {divided each side by 6}

20 feet is the shorter side

B.)  20

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Algebra House
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