Discussion
If the dimensions of a room are \( l \), \( b \) and \( h \) (length, breadth and height respectively), then which of the following is the area of its four walls?
Answer: A
The four walls form a band running round the floor at height \( h \). Two of them measure \( l \times h \) and two \( b \times h \):
\[ A = 2lh + 2bh = 2h(l + b) \]
Equivalently it is the floor's perimeter \( 2(l+b) \) multiplied by the height. The floor and ceiling are excluded, so \( lb \) never appears.
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