NCERT Solutions for Class 8 Maths Exercise 4.5

Class –VIII Mathematics (Ex. 4.5)

NCERT SOLUTION

Draw the following:

1. The square READ with RE = 5.1 cm.

Ans. Given:  RE = 5.1 cm.

To construct: A square READ.

Steps of construction:

(i) Draw RE = 5.1 cm.

(ii) At point E, construct an angle of  and draw an arc of radius 5.1 cm, which intersects at point A.

(iii) At point R, draw an arc of radius 5.1 cm at point A, draw another arc of radius 5.1 cm which intersects the first arc at point D.

(iv) Join AD and RD.

It is the required square READ.

NCERT Solutions for Class 8 Maths Exercise 4.5

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

Ans. Given:  Diagonals of a rhombus

AC = 5.2 cm and BD = 6.4 cm.

To construct: A rhombus ABCD.

Steps of construction:

(a) Draw AC = 5.2 cm and draw perpendicular bisectors on AC.

(b) Since, diagonals bisect at mid-point O, therefore get half of 6.4 cm, i.e., 3.2 cm.

(c) Draw two arcs on both sides of AC of radius 3.2 cm from intersection point O, which intersects at B and D.

(d) Join AB, BC, CD and DA.

It is required rhombus ABCD.

NCERT Solutions for Class 8 Maths Exercise 4.5

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

Ans. Given:  MN = 5 cm and MP = 4 cm.

To construct: A rectangle MNOP

Steps of construction:

(a) Draw a segment MN = 5 cm.

(b) At points M and N, draw perpendiculars of lengths 4 cm and produce them.

(c) Taking centres M and N, draw two arcs of 4 cm each, which intersect P and Q respectively.

(d) Join side PO.

It is required rectangle MNOP.

NCERT Solutions for Class 8 Maths Exercise 4.5

4. A parallelogram OKAY where

OK = 5.5 cm and KA = 4.2 cm.

Ans. Given:  OK = 5.5 cm and KA = 4.2 cm.

To construct: A parallelogram OKAY.

Steps of construction:

(a) Draw a line segment OK = 5.5 cm.

(b) Draw an angle of  at K and draw an arc of radius KA = 4.2 cm, which intersects at point A.

(c) Draw another arc of radius AY = 5.5 cm and at point O, draw another arc of radius 4.2 cm which intersect at Y.

(d) Join AY and OY.

It is the required parallelogram OKAY.

 NCERT Solutions for Class 8 Maths Exercise 4.5

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