The most appropriate choice for perimeter of a shape will be given by-
UT = 19 ft
ST = 19 ft
RS = 19 ft
UR = 19 ft
What is perimeter of a shape?
Perimeter of a shape is the length of the boundary of the shape.
It is obtained by taking the sum of all the length of the boundary.
Here,
UT = (25 - x) ft
ST = (3x + 1) ft
RS = (13 + x) ft
UR = (4x - 5) ft
Perimeter = UT + ST + RS + UR
= (25 - x + 3x + 1 + 13 + x +4x -5) ft
= (7x + 34) ft
By the problem,
[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]
UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft
ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft
RS = [tex]13 + 6 = 19[/tex] ft
UR = [tex]4\times 6 - 5[/tex] = 19 ft
To learn more about perimeter of a shape, refer to the link-
https://brainly.com/question/19819849
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