3. To conduct Sports Day activities, in
your rectangular shaped school
ground ABCD, lines have been
drawn with chalk powder at a
distance of 1m each. 100 flower pots
have been placed at a distance of 1m
from each other along AD, as shown
1
in Fig. 7.12. Niharika runs th the
4
distance AD on the 2nd line and
1
posts a green flag. Preet runs 5 th
the distance AD on the eighth line
and posts a red flag. What is the
distance between both the flags? If
Rashmi has to post a blue flag exactly
halfway between the line segment
joining the two flags, where should
she post her flag?
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Answer:
ANSWER
AD=100 m and AB=10m
The coordinates of Niharika's flag =(2,25) and the coordinates of Preet's flag =(8,20).
A(2,25) and B(8,20)
AB =
(20−25)
2
+(8−2)
2
=
(−5)
2
+6
2
=
25+36
=
61
Distance between both flags is
61
m.
Rashmi has to place her flag at the midpoint of AB.
MIdpoint of AB = (
2
2+8
,
2
25+20
) = (5,22.5)
Rashmi must place her flag along the fifth line at 22.5 m from A.
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