2016 · Q79
What is the perimeter of the figure shown below? In the stepped figure ABCDEFGHJI: AJ = 10 cm, JI = 12 cm, AB = x, CD = x + 1, EF = x + 2, GH = x + 3, BC = DE = FG = HI = y. (The figure is a stepped polygon; all horizontal and vertical extents needed are given in the text.)
General Mental Ability, Quantitative Aptitude and StatisticsTime, work and measurement
- A44 cm
- B48 cm
- C54 cm
- D58 cm
Explanation
For any rectilinear stepped figure, the horizontal projections on the two sides sum to the total width and the vertical projections to the total height: total horizontal extent = JI = 12 cm, total vertical = AJ = 10 cm. Perimeter = 2 × (12 + 10) = 44 cm. Hence (A).