Draw a line segment PQ of length 7 cm. Mark a point R on it such that l(PR) : l(RQ) = 4 : 1.

In this we are asked to divide it in 4:1 ratio

So, 4+1 = 5

i. Firstly, we have to draw a line segment PQ of length 7 cm

Draw a line with an acute angle from point P

ii. Point the compass on P, and cut the new line with some radius

iii. Place the compass along the line and make 5 arcs. Since we need 5 congruent parts, and name the last one as “E”

iv. Take length of EQ as radius draw an arc from P just below it.

v. Again, take the length of PE as radius and draw an arc which cuts the previous arc from Q, name the intersection point as G. Connect Q and G

vi. Taking the same length that we used in line PP’, draw arcs along GQ and name the points as H, I, J, K

vii. Connect the points along QS and PT

viii. Thus we have divided the line segment as PR:RQ = 4:1