The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot ...

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The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmohar are planted on the boundary at a distance of \( 1 \mathrm{~m} \) from each other. There is a triangular grassy lawn in the plot as shown in the Fig. The students are to sow seeds of flowering plants on the remaining area of the plot.
(i) Taking A as origin, find the coordinates of the vertices of the triangle.
(ii) What will be the coordinates of the vertices of \( \triangle \mathrm{PQR} \) if \( \mathrm{C} \) is the origin?
Also calculate the areas of the triangles in these cases. What do you observe?
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