**Introduction**

In Euclidean plane geometry, a **rectangle** is any quadrilateral with four right angles. The term "oblong" is
occasionally used to refer to a non-square rectangle. A rectangle with vertices ABCD would be denoted as *ABCD*. (Source: Wikipedia)

**How to Construct**

** ** To construct a rectangle when it’s two adjacent sides. In a properly used rectangle, each angle is a right angle and
opposite sides is equal.

**Problem 1:-**

Construct a rectangle ABCD in which AB = 5 cm and BC = 4 cm. How to construct?

**Steps for Construct**

**Step1:- ** Draw a line segment AB of length 5 cm.

**Step2:- ** At B, draw BE │ AB.

**Step3:-** With B as centre position and radius 4 cm draw an arc cutting BE at C.

**Step4:-** With A as centre position and radius 4 cm, draw an arc.

**Step5:-** With C as centre position ad radius 5 cm draws another arc cutting the previous arc at D.

**Step6:-** Join AD and CD. Then, ABCD is the required rectangle.

**Construct**

To construct a rectangle with one diagonal and one side are given.

**Problem 2:-**

To Construct a rectangle ABCD in the given sides AB = 4 cm, and diagonal AC = 5 cm. How to construct?

**Steps for Construct**

**Step1:-** Draw al line segment AB of length 4 cm.

**Step2:-** At B, draw BE │ AB.

**Step3:-** With A as centre position and radius 5 cm, draw an arc cutting BE at C.

**Step4:-** With centre B and radius equal to AC = 5 cm, draw an arc.

**Step5:-** With centre position C and radius equal to AB = 4 cm, another arc, cutting the previous arc at D.

**Step6:-** Join AD and CD.Then, ABCD is the required rectangle.

**Problem 1:-**

When one diagonal AC = 6.4 cm and the angle between the two diagonals are given

Let diagonal AC = 6.4 cm and the angle between the two diagonals be 60^{0}.How to construct?

**Steps for Construct**

**Step1:-** Draw AC = 6.4 cm.

**Step2:-** Draw the perpendicular bisector of AC and find the mid-point of AC. Let the perpendicular.Bisectors intersect AC at point O.

**Step3:-** Through O, construct a line POQ so that angle POC = 60^{0}.

**Step4:-** From OP cut OD equal to OC (i.e. 3·2cm) and from OQ.Then, ABCD is the required rectangle.