alexbenavides2121 alexbenavides2121
  • 21-04-2020
  • Mathematics
contestada

The area of a rectangle is 100cm2. After a dilation, the area is 25cm2. What is the scale factor?

Respuesta :

calculista
calculista calculista
  • 27-04-2020

Answer:

The scale factor is 1/2

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produces similar figures

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ---> the scale factor

x ---> the area after dilation

y ---> the original area

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

we have

[tex]x=25\ cm^2\\y=100\ cm^2[/tex]

substitute

[tex]z^2=\frac{25}{100}[/tex]

[tex]z^2=\frac{1}{4}[/tex]

[tex]z=\frac{1}{2}[/tex]

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