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The area of ▱FGHI is 81 ft2. The area of ▱TUVW is 64 ft2. If ▱FGHI ∼ ▱TUVW, find the scale factor form ▱TUVW to ▱FGHI and the value of x.

The Area Of FGHI Is 81 Ft2 The Area Of TUVW Is 64 Ft2 If FGHI TUVW Find The Scale Factor Form TUVW To FGHI And The Value Of X class=

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Akposevictoridn

Given that ▱FGHI and ▱TUVW are similar figures, the scale factor from ▱TUVW to ▱FGHI  is 8/9.

The value of x is 32.

What is the Area of Similar Figures?

  • If a and b are corresponding sides of two similar shapes with areas A and B respectively, the ratio of their areas is, a/b = a²/b² = A/B.
  • Scale factor = a/b.

Therefore, the scale factor from TUVW to FGHI would be:

√64/√81 = 8/9

Find the value of x:

x/36 = 8/9

x = 32

Thus, given that ▱FGHI and ▱TUVW are similar figures, the scale factor from ▱TUVW to ▱FGHI  is 8/9.

The value of x is 32.

Learn more about similar figures on:

https://brainly.com/question/4381215

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