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 the following figure.

Niharika runs \(\frac{1}{4}\)th the distance of AD on then 2nd line and posts a green flag 

Preet runs \(\frac{1}{5}\)th the distance AD on the 5 eighthline 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

Origin, A(0, 0) 

AB along x – axis 

AD along y – axis 

In the parallel line AD in 2^nd row, Rashmi sees green flag at the distance of \(\frac{1}{4}\). 

∴ AD = \(\frac{1}{4}\) × 100 = 25 m. 

∴ Coordinates of green flag are G(2, 25) 

Similarly we can find out coordinates of Red flag as R(8, 20). 

∴ Distance between G and R is

It means blue flag is in 5th line and parallel to AD at the distance of 22.5 m.