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Donavan is creating a geometric design using similar rectangles. One of his rectangles is 2 inches wide and 6 inches long. He wants to have another rectangle that is 5 inches wide. To follow his design, how long must the second rectangle be?


A. 2 inches


B. 6 inches


C. 12 inches


D. 15 inches

Respuesta :

Let the unknown length be x

[tex] \frac{2}{5} = \frac{6}{x} [/tex]
[tex] \frac{2x3}{5x3} = \frac{6}{x} [/tex]
[tex] x = 15[/tex]

Answer : D

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