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Answer:

Equation: [tex]2(x+8)+2(3x-5)+23 = 126[/tex]

[tex]x = 12.125[/tex]m

[tex]AB = 20.125[/tex]m

[tex]EF=31.375[/tex]m

Step-by-step explanation:

The equation of the perimeter of this shape can be written as:[tex]2(x+8)+2(3x-5)+23 = 126[/tex] (Sides with the same number of dashes are equal in length)

Which becomes:

[tex]2x+16+6x-10+23=126[/tex]

[tex]8x+29=126[/tex]

[tex]8x=97[/tex]

[tex]x= 12.125[/tex]

Since AB = [tex]x+8[/tex], we can substitute to get the length of AB:

[tex]x+8 = 12.125+8[/tex]

[tex]=20.125[/tex]

We can also use substitution to solve for the length of EF:

[tex]3x-5=3(12.125)-5[/tex]

[tex]=31.375[/tex]

Hope this helps :)

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