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A wire was bent into the shape of a rectangle with width 5 and length 7. If the same wire is bent into the shape of a square, what is the length of a side of the square? 3 B 6 24

User Ramr
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If the wire was bent into a rectangle with dimensions 5 and 7, the perimeter of this rectangle corresponds to the length of the wire:


\begin{gathered} \text{Perimeter}=2\cdot5+2\cdot7 \\ \text{Perimeter}=10+14 \\ \text{Perimeter}=24 \end{gathered}

So if we use the same wire to make a square with side equal x, the perimeter of this square is 4x, so:


\begin{gathered} \text{Perimeter}=4x \\ 24=4x \\ x=(24)/(4) \\ x=6 \end{gathered}

So the side of the square is 6 units, therefore the correct option is B.

User Imdad
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