Question

❥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 1 m from each other along AD, as shown in the following figure. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th 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?

Answer 1

❥ᴀɴsωᴇʀ ↴

⠀⠀⠀⠀⠀⠀⠀⠀●ᴄʜᴇᴄᴋ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛs!♡~⠀

Answer 2

$\implies\Huge{\textbf{\textsf{{\color{blue}{ᗩи}}{\purple{ѕ}}{\red{ωєƦ}}{\color{yellow}{:}}}}}$

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.

$MIdpoint of AB = ( 22+8 , 2 25+20 ) = (5,22.5)$

Rashmi must place her flag along the fifth line at 22.5 m from A