Discussion
A 180 cm long wire is formed into a rectangle. If the width of this rectangle is 30 cm, what is its length ?
Answer: B
The length is 60 cm.
The whole wire becomes the perimeter of the rectangle:
\[ \begin{aligned} 2(l + w) &= 180 \\ l + 30 &= 90 \\ l &= 60\ \text{cm} \end{aligned} \]
The option 90 cm is the half-perimeter (length plus width), 120 cm is twice the length, from subtracting both widths (180 - 60) but forgetting to halve, and 45 cm does not fit the perimeter.
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