Question

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

Answer 1

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

`Perimeter\text{ of square = 4}* side`

On substituting the value we have

`\begin{gathered} 96=4*(2x+8) \\ (96)/(4)=2x+8 \\ 24=2x+8 \\ 2x=16 \\ x=8 \\ So,\text{ PQ = 2}*8+8=16+8=24 \\ PQ=24 \end{gathered}`

So the correct option is A.

Hence, the final answer is 24.