# Draw the following.

1. A square READ with RE = 5.1 cm.

2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

3. A rectangle with adjacent sides of lengths 5 cm and 4 cm

4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?

**Solution:**

i) Step 1: Draw a line segment RE = 5.1 cm.

Step 2: Draw an angle of 90° at E and cut EA = 5.1 cm.

Step 3: Draw two arcs from A and R with radius 5.1 cm to cut each other at D.

Step 4: Join RD and AD.

READ is the required square.

ii) Step 1: Draw a line segment AB=6.4 cm.

Step 2: Draw perpendicular bisector of AB meeting AB at O.

Step 3: 5.2 cm divided by 2 = 2.6 cm. Measure 2.6 cm from O on either side of AB on perpendicular bisector and mark them as C and D.

Step 4: Join AC, AD, BC and BD.

Step 5: ABCD is the required rhombus.

iii) Step 1: Draw a line segment PQ = 5 cm.

Step 2: Draw an angle of 90° at Q and cut QR = 4 cm.

Step 3: With centre R and radius 5 cm draw an arc.

Step 4: Draw another arc with centre P and radius 4 cm to meet the former arc at S.

Step 5: Join RS and PS.

Thus, PQRS is the required rectangle.

iv)

Step 1: Draw a line segment OK = 5.5 cm.

Step 2: Draw an angle of any measure (say 60°) at K and cut KA = 4.2 cm.

Step 3: With centre A and radius of 5.5 cm draw an arc.

Step 4: Draw another arc with centre O and radius 4.2 cm to cut thes former arc at Y.

Step 5: Join AY and OY.

OKAY is the required parallelogram.

It is not a unique parallelogram as the angle at K can be of measure other than 60°.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 4

**Video Solution:**

## Draw the following. 1. A square READ with RE = 1 cm. 2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long. 3. A rectangle with adjacent sides of lengths 5 cm and 4 cm 4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?

NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.5 Question 1

**Summary:**

The following quadriaterals are constructed. 1. A square READ with RE = 1 cm. 2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long. 3. A rectangle with adjacent sides of lengths 5 cm and 4 cm 4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?

**☛ Related Questions:**

- Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm, BC = 5.5 cm CD = 4 cm, AD = 6 cm, AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5 cm, UM = 4 cm MP = 5 cm, PJ = 4.5 cm, PU = 6.5 cm (iii) Parallelogram MORE OR = 6 cm, RE = 4.5 cm EO = 7.5 cm (iv) Rhombus BEST BE = 4.5 cm and ET = 6 cm.
- Construct the following quadrilaterals. (i) Quadrilateral LIFT LI = 4 cm, IF = 3 cm TL = 2.5 cm, LF = 4.5 cm, IT = 4 cm (ii) Quadrilateral GOLD OL = 7.5 cm, GL = 6 cm GD = 6 cm, LD = 5 cm, OD = 10 cm (iii) Rhombus BEND BN = 5.6 cm and DE = 6.5 cm.
- Construct the following quadrilaterals. (i) Quadrilateral MORE MO = 6 cm, OR = 4.5 cm ∠M = 60°, ∠O = 105°, ∠R = 105° (ii) Quadrilateral PLAN PL = 4 cm, LA = 6.5 cm ∠P = 90°, ∠A = 110°, ∠N = 85° (iii) Parallelogram HEAR HE = 5 cm, EA = 6 cm ∠R = 85° (iv) Rectangle OKAY OK = 7 cm, KA = 5 cm
- Construct the following quadrilaterals. (i) Quadrilateral DEAR DE = 4cm, EA = 5cm, AR = 4.5cm ∠E = 60°, ∠A = 90° (ii) Quadrilateral TRUE TR = 3.5cm, RU = 3cm, UE = 4cm ∠R = 75°, ∠U = 120°

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