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Square P and Sqare Q are similar squares. The ratio of the side length of square P to the side length of square Q is 2:7. If the side length of square P is 3.5 inches, what is the perimeter of square Q

Respuesta :

Answer:

Perimeter of square Q is 49 inches.

Step-by-step explanation:

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

[tex]\frac{x}{y}=\frac{2}{7}[/tex]

Also it is given that x=3.5 inches.Hence

[tex]\frac{3.5}{y}=\frac{2}{7}[/tex]

∴ y=12.25 inches.

Perimeter of square Q is 4y = [tex]4\times12.25=49[/tex] inches.