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Sagot :
Answer:
The side of the square can be 13 or 9
Step-by-step explanation:
Let x equal the unknown side of the rectangle and y equal the side of the square. The given information is that the area of the square is 4cm^2 larger than that of the rectangle. Mathematically this can be represented as
[tex]11x+4=y^2[/tex]
The second known is that their perimeters are equal so,
[tex]22+2x=4y[/tex]
Solve the first equation in terms of x and substitute it into the second and you get the quadratic
[tex]y^2-22y+117=0[/tex]
[tex](y-13)(y-9)=0[/tex]
Therefore your side length for the square can be either of those.
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