The diagram shows a plan of two adjoining rooms.
Some of the lengths and the areas are given. What is the perimeter of the combined shape?
A. 36 m
B. 38 m
C. 41 m
D. 42 m
E. 45 m
B. 38 m
The length of the top rectangle must be 42 ÷ 6 = 7 m. The length of the lower rectangle must be 20 ÷ 4 = 5 m. The length of the joined sides is 3 m. Adding the lengths of the sides from the top going clockwise gives:
7 + 6 + 2 + 4 + 5 + 4 + 4 + 6 = 38 m.
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