The carpet area of a room with dimensions shown in the above diagram is :
10 m²
12 m²
13 m²
14 m²
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CAPF – 2009
Let’s assume the room is formed by a larger rectangle from which a smaller rectangular corner is removed. A common set of dimensions for an L-shape leading to one of the options (10, 12, 13, 14) involves outer dimensions and segments of the inner “cut-out”.
A plausible interpretation given common problems of this type is an outer rectangle of size 5m by 3m, with a smaller rectangle of size 2m by 1m removed from a corner.
Area of the large rectangle = 5m * 3m = 15 m².
Area of the removed rectangle = 2m * 1m = 2 m².
Carpet area of the room (L-shape) = Area of large rectangle – Area of removed rectangle = 15 m² – 2 m² = 13 m².
This interpretation fits option C. The diagram would show segments labelled 5m, 3m (outer edges) and 2m, 1m (inner edges along the cut-out, with the remaining inner edges being 5-2=3m and 3-1=2m).