contestada

9. A rectangle 11 cm by 6 cm is similar to
a rectangle 2 cm by x cm. Find the two
possible values of x.

Respuesta :

mhanifa

Answer:

  • 11/3 cm or 12/11 cm

Step-by-step explanation:

Given

  • Rectangle with sides of 11 cm and 6 cm.
  • A similar rectangle has sides 2 cm and x cm.

Option 1

The side x cm is corresponding to 11 cm.

In this case the ratio of corresponding sides:

  • x/11 = 2/6
  • x /11 = 1/3
  • x = 11/3 cm

Option 2

The side x cm is corresponding to 6 cm.

In this case the ratio of corresponding sides:

  • x/6 = 2/11
  • x = 12/11 cm

The possible values of x are:

  • 11/3 cm and 12/11 cm
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