Perimeter of rectangle = 18 cm
Sides are in the ratio = 3 : 4
Step of construction :
(i) Draw XY = 9 cm.
(ii) Make ∠YXZ < 90° and mark the points A1, A2, A3, A4, A5, A6 and A7.
Such that XA1 = A1 A2 = A2 A3 = A3 A4 = A4 A5 = A5 A6 = A6 A7
(iii) Join A7 Y
(iv) Make ∠XA7Y = ∠XA3P
∴ XP : PY = 3 : 4
(v) ∠SPY = 90°
(vi) Taking centre P and radius equal to XP draw a arc which intersect PS at the point Q. PQRY is a rectangle.