Respuesta :

let's recall that a square has four equal sides, so if one side is x + 4½ long, then all four are x + 4½ long, and the perimeter is simply the sum of all four.

let's first off, convert the mixed fraction to improper fraction.


[tex]\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \left( x+\cfrac{9}{2} \right)+\left( x+\cfrac{9}{2} \right)+\left( x+\cfrac{9}{2} \right)+\left( x+\cfrac{9}{2} \right)\implies 4\left( x+\cfrac{9}{2} \right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 4x+18~\hfill[/tex]

Answer: Perimeter of square would be 4x+18 units.

Step-by-step explanation:

Since we have given that

Length of square = [tex]x+4\dfrac{1}{2}[/tex]

So, after simplification, we get that

[tex]x+\dfrac{4\times 2+1}{2}\\\\=x+\dfrac{9}{2}[/tex]

As we know the formula for "Perimeter of square";

Perimeter of square is given by

[tex]4\times side\\\\=4\times (x+\dfrac{9}{2})\\\\=4x+4\times \dfrac{9}{2}\\\\=4x+\dfrac{36}{2}\\\\=4x+18[/tex]

Hence, Perimeter of square would be 4x+18 units.

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