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 in Fig. 7.12. Niharika runs th thedistance AD on the 2nd line andposts a green flag. Preet runsththe distance AD on the eighth lineand posts a red flag. What is thedistance between both the flags? IfRashmi has to post a blue flag exactlyhalfway between the line segmentjoining the two flags, where shouldshe post her flag?

Question

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 in Fig. 7.12. Niharika runs th thedistance AD on the 2nd line andposts a green flag. Preet runsththe distance AD on the eighth lineand posts a red flag. What is thedistance between both the flags? IfRashmi has to post a blue flag exactlyhalfway between the line segmentjoining the two flags, where shouldshe post her flag?

Philoid · Accepted Answer

It can be observed that Niharika posted the green flag at of the distance AD i.e., = 25 m from thestarting point of 2nd line. Therefore, the coordinates of this point G is (2, 25)

Similarly, Preet posted red flag at of the distance AD i.e.,= 20 m from the starting point of 8th line. Therefore, the coordinates of this point R are (8, 20)

Distance between these flags by using distance formula = GR

= [(8 – 2)² + (25 – 20)²]^1/2

= (36 + 25)^1/2

= m

The point at which Rashmi should post her blue flag is the mid-point of the line joining these points. Let this point beA (x,y)

x = = 5

y = = 22.5

Hence, A (x, y) = (5, 22.5)

Therefore, Rashmi should post her blue flag at 22.5m on 5th line