Janie designed a miniature couch for a dollhouse based on her own couch. Janie’s couch is 7 and 1/2 feet long. The scale of the dollhouse is 1 inch : 2 feet. What is the length of the miniature couch for the dollhouse?

Respuesta :

length in feet 7 and 1/2 feet

scale given is 1 inch: 2 feet

let us say the miniature length of dollhouse is x inches

[tex] \frac{1 inch}{2 feet} = \frac{x inch}{7.5 feet} [/tex]

[tex] \frac{1}{2} =\frac{x}{7.5} [/tex]

[tex] x=\frac{7.5}{2} =3.75 [/tex]

Answer : 3.75 inches

Answer:

length of miniature couch for the dollhouse is 3.75 inch long

Step-by-step explanation:

Janie’s couch is 7 and 1/2 feet long.

The scale of the dollhouse is 1 inch : 2 feet.

1/2 feet is 0.5 feet long

So couch is 7+0.5 = 7.5 feet long

2 feet is 1 inch long is the scale drawing

We convert 7.5 feet into inches

2 feet = 1 inche

7.5 feet = [tex]\frac{7.5}{2} 3.75[/tex]

So length of miniature couch for the dollhouse is 3.75 inch long

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