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Question
ABCD is a rectangle, with AP = PQ = QB and points R, S, T dividing the side CD in four equal parts. Find the area of the shaded region if the area of the rectangle is A sq. units..
ABCD is a rectangle, with AP = PQ = QB and points R, S, T dividing the side CD in four equal parts. Find the area of the shaded region if the area of the rectangle is A sq. units..
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Solution
The correct option is C
We know that the area of all triangles between two parallel lines and having a common base is the same
Thus, the triangle can also be represented as follows
we can say that, area (RQS) = area (RR1S)
Using the concept of graphical division, we can divide the figure into 8 equal regions as follows.
The required region is A8 units.
We know that the area of all triangles between two parallel lines and having a common base is the same
Thus, the triangle can also be represented as follows
we can say that, area (RQS) = area (RR1S)
Using the concept of graphical division, we can divide the figure into 8 equal regions as follows.
The required region is A8 units.