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Sagot :
The question illustrates equivalent ratios, because both quadrilaterals are similar.
The length of GH is 35.1 units
From the question (see attachment), the corresponding sides are:
- CD and GH
- DE and HI
So, we have:
[tex]\mathbf{CD : DE = GH : HI}[/tex]
The side lengths are:
[tex]\mathbf{HI = 51}[/tex]
[tex]\mathbf{CD = 11}[/tex]
[tex]\mathbf{DE = 16}[/tex]
So, we have:
[tex]\mathbf{11 : 16 = GH : 51}[/tex]
Express as fractions
[tex]\mathbf{\frac{11 }{ 16} = \frac{GH }{ 51}}[/tex]
Make GH the subject
[tex]\mathbf{GH =51 \times \frac{11 }{ 16}}[/tex]
[tex]\mathbf{GH =35.1}[/tex]
Hence, the length of GH is 35.1 units
Read more about similar shapes at:
https://brainly.com/question/20536565

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