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What is the correct answer to this question The options are A. 24B. 44C. 40D. 52

What Is The Correct Answer To This Question The Options Are A 24B 44C 40D 52 class=

Sagot :

Given that

There is a square with its side as PQ = 2x + 8 and the perimeter is 96. And we have to find the side PQ of the square.

Explanation -

As it is a square and all the sides of the square are the same.

Since the perimeter is the sum of all the sides and its formula is given as

[tex]Perimeter\text{ of square = 4}\times side[/tex]

On substituting the value we have

[tex]\begin{gathered} 96=4\times(2x+8) \\ \frac{96}{4}=2x+8 \\ 24=2x+8 \\ 2x=16 \\ x=8 \\ So,\text{ PQ = 2}\times8+8=16+8=24 \\ PQ=24 \end{gathered}[/tex]

So the correct option is A.

Hence, the final answer is 24.
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