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Sagot :
Answer:
Perimeter of rectangle is [tex]\[76\]m[/tex]
Step-by-step explanation:
Width of rectangle=[tex]\[x+5\][/tex]
Length of rectangle = [tex]\[6\][/tex]
Side of square = [tex]\[x-8\][/tex]
It is given that Perimeter of rectangle = Perimeter of square
[tex]\[2(l+b)=4s\][/tex]
Thus,
[tex]\[2(6+(x+5))=4(x-8)\][/tex]
Therefore,
[tex]& 2(11+x)=4x-32 \\ & 22+2x=4x-32 \\ & 22+32=4x-2x \\ & 54=2x \\ & x=27 \\[/tex]
Therefore, perimeter of rectangle is –
[tex]& =2(6+(x+5)) \\ & =2(6+(27+5)) \\ & =2(38) \\ & =76 \\[/tex]
Learn more about perimeter of square and rectangle: https://brainly.com/question/19355727?referrer=searchResults
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