The values of x in the rectangle are 1 or 3
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.
The perimeter of a rectangle is given by:
Perimeter = 2(length + breadth)
From the image attached,, the length is (x + 1)/3 and the width is 1/x, hence:
[tex]Perimeter =2(length + width)\\\\\\\frac{10}{3} =2(\frac{x+1}{3}+\frac{1}{x} )\\\\\frac{5}{3} =(\frac{x+1}{3}+\frac{1}{x} )\\\\5x=x^2+x+3\\\\x^2-4x+3=0[/tex]
x = 1 or x = 3
Therefore the values of x in the rectangle are 1 or 3
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