To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig. Niharika runs 41 th the distance AD on the 2nd line and posts a green flag. Preet runs 51 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?

Question

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig. Niharika runs 41​ th the distance AD on the 2nd line and posts a green flag. Preet runs 51​ 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?

Filo · Accepted Answer

AD=100 m and AB=10mThe 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+62​=25+36​=61​Distance between both flags is 61​ m.Rashmi has to place her flag at the midpoint of AB.MIdpoint of AB = (22+8​,225+20​)  = (5,22.5)Rashmi must place her flag along the fifth line at 22.5 m from A.

Question Text	To conduct Sports Day activities, in your rectangular shaped school ground $A BC D$ , lines have been drawn with chalk powder at a distance of $1$ m each. $100$ flower pots have been placed at a distance of $1$ m from each other along $A D$ , as shown in Fig. Niharika runs $\frac{1}{4}$ th the distance $A D$ on the $2$ nd line and posts a green flag. Preet runs $\frac{1}{5}$ th the distance $A D$ 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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