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.
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