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The Johnson’s have a square rug in their living room that is 36 ft2. For Christmas, they are building a dollhouse for their daughter. Its linear dimensions are exactly 60 times smaller than their actual house. In the dollhouse, what are the dimensions of the rug (in inches)? [12 inches in 1 foot]

Respuesta :

carlosego
1. You have that Tthe square rug in their living room  is 36 ft², then, the lenghts of its sides, are:

 A=L²
 L=√A
 L=√36 ft²
 L=6 ft

 2. There are 12 inches in 1 foot, then:

 12 inches----1 ft
                x----6 ft

 x=6x12
 x=72 inches

 L=72 inches


 3. Its linear dimensions are 60 times smaller than their actual house. Then, you have:

 L=(72 inches)(1/60)
 L=1.2 inches

 What are the dimensions of the rug?

 The answer is: 1.2 inches
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