In the figure, side ab is given by the expression (5x + 5)/(x + 3), and side bc is (3x + 9)/(2x - 4).
the simplified expression for the area of rectangle abcd is and the restriction on x is

The simplified expression for the area of rectangle ABCD is , and the restriction on x is x≠2 .

Step-by-step explanation:

Side AB = Width of rectangle = (5x + 5)/(x + 3)

Side BC = Length of rectangle =  (3x + 9)/(2x - 4)

Area of Rectangle = Length * Width

Putting values:

Solving,

The restriction on x is that x ≠ 2, because if x =2 then denominator will be zero.

So, the answer is:

The simplified expression for the area of rectangle ABCD is , and the restriction on x is x≠2 .

step-by-step explanation:

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