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Question
A square-shaped children's park has a square-shaped pond in between. The corners of the pond are connected to the respective corners of the park by a fence to give four playgrounds with areas p, q, r and s as shown:
A square-shaped children's park has a square-shaped pond in between. The corners of the pond are connected to the respective corners of the park by a fence to give four playgrounds with areas p, q, r and s as shown:
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Solution
The correct option is C p + r
= q + s
just by dividing the figure in the above way, we can observe that p + r = q + s.
Alternatively, since this is an "ANY” question, you can shift the square to check which relation holds true. Two such shifts can be as follows
In case 1, the square is moved to the top left corner, q & s=0 & p=r. hence, option (c) holds true. In the second diagram, the square is moved to the exact centre. Here also, the relation p+q=r+s holds true
p + r = q + s
just by dividing the figure in the above way, we can observe that p + r = q + s.
Alternatively, since this is an "ANY” question, you can shift the square to check which relation holds true. Two such shifts can be as follows
In case 1, the square is moved to the top left corner, q & s=0 & p=r. hence, option (c) holds true. In the second diagram, the square is moved to the exact centre. Here also, the relation p+q=r+s holds true
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