students of class were given a rectangular plot of land ABCD fir gardening activity . Saplings of Gulmohar were planted on the boundary such that distance between any two consecutive saplings is 1 m . Further , there is a triangular grassy lawn in the plot as shown in the below figure . The students are to sow seeds of flowering plants on the remaining area of plot.
(I) Taking A as origin , find the coordinates of the points P,Q and R.
(ii) Find the area of triangular grassy lawn.
Answers
I) P (4 m , 6 m),Q (3 m,2 m) ,R(6 m,5m)
II) Area of triangle PQR = 9/2 square units
Given that the point A is acting as the origin . We will find the coordinates of the points P,Q,R with respect to A.
Each gulmohar sapling is placed at 1 m from each other .
Coordinates of P - (4 m , 6 m)
Coordinates of Q - (3 m , 2 m)
Coordinates of R - (6 m , 5 m)
Area of the triangle PQR = 1/2 [x1 (y2 - y3) +x2 (y3 - y1) +x3(y1 - y2)]
x1 = 4, y1 = 6
x2 = 3, y2 = 2
x3 = 6, y3 = 5
Area = 1/2[4(2 - 5) + 3(5 - 6) +6(6-2)]
= 9/2 sq. units
I) P (4 m , 6 m),Q (3 m,2 m) ,R(6 m,5m)
II) Area of triangle PQR = 9/2 square units
Given that the point A is acting as the origin . We will find the coordinates of the points P,Q,R with respect to A.
Each gulmohar sapling is placed at 1 m from each other .
Coordinates of P - (4 m , 6 m)
Coordinates of Q - (3 m , 2 m)
Coordinates of R - (6 m , 5 m)
Area of the triangle PQR = 1/2 [x1 (y2 - y3) +x2 (y3 - y1) +x3(y1 - y2)]
x1 = 4, y1 = 6
x2 = 3, y2 = 2
x3 = 6, y3 = 5
Area = 1/2[4(2 - 5) + 3(5 - 6) +6(6-2)]
= 9/2 sq. units
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