Question

Using ruler and compasses, construct a rectangle ABCD with AB = 5 cm and AD = 3.6 cm.

Answer 1

Given: AB = 5 cm and AD = 3.6 cm

To construct a rectangle steps are:

• Draw a line segment AB = 5 cm [Establishing the base of the rectangle]
• Construct a perpendicular at point A such that ∠DAB = 90° [Using compasses to construct a right angle at A]
• With A as center and radius 3.6 cm, draw an arc on the perpendicular to locate point D [Marking the length of side AD]
• Construct a perpendicular at point B such that ∠CBA = 90° [Using compasses to construct a right angle at B]
• Draw a line segment joining points C and D [Closing the figure to form rectangle ABCD]