**NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Exercise 4.5**

**Draw the following:**

Ex 4.5 Class 8 Maths Question 1.

The square READ with RE = 5.1 cm.

Solution:

Construction:

StepI: Draw RE = 5.1 cm.

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

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

Step IV: Join RD and AD.

Thus, READ is the required square.

Ex 4.5 Class 8 Maths Question 2.

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

Solution:

Construction:

Step I: Draw AC = 6.4 cm.

StepII: Draw the right bisector of AC at E.

Step III: Draw two arcs with centre E and radius = 5.22 = 2.6 cm to cut the previous diagonal at B and D.

StepIV: Join AD, AB, BC and DC.

Thus ABCD is the required rhombus.

Ex 4.5 Class 8 Maths Question 3.

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

Solution:

Construction: Let the two adjacent sides of a rectangle PQRS be PQ = 5 cm and QR = 4 cm.

Step I: Draw PQ = 5 cm.

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

Step III: Draw an arc with centre R and radius 5 cm.

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

Step V: Join RS and PS.

Thus, PQRS is the required rectangle.

Ex 4.5 Class 8 Maths Question 4.

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

Solution:

Construction:

StepI: Draw OK = 5.5 cm.

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

Step III: Draw an arc with centre A and radius of 5.5 cm.

StepIV: Draw another arc with centre O and radius 4.2 cm to cut the previous arc at Y.

Step V: Join AY and OY.

Thus, OKAY is the required parallelogram.

No, it is not a unique parallelogram. The angle at K can be of measure other than 60°.

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