Q. 3 A4.8( 4 Votes )

Let us draw the squared figures by taking the following lengths as sides.

√14 cm

Answer :

We know that, area of a square with side √a will be a.

[Area of square = (side)2]

Also, we can draw a square with area equal to a rectangle, we will use the area of rectangle in order to make the area equal to square.

side = √14 cm

Area of square = 14 cm2

Area of rectangle = length × breadth = 14 cm2

Here, let’s choose length = 7 cm and breadth = 2 cm

Construction steps:

1. Draw a rectangle ABCD with length, AB = 7 cm and breadth, BC = 2 cm.

2. Extend CD to CE, such that CE = BC = 2 cm.

3. Draw the perpendicular bisector of DE which bisects DE at O.

4. Taking O as center and OD = OE as radius, draw a semicircle.

5. Extend BC which intersects semicircle at F.

6. Draw a square CFGH taking CF as side.


Area of square CFGH = area of rectangle ABCD = 14 cm2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Criterion of Similarity of Triangle45 mins
Applications of Newton's Third Law of Motion49 mins
Quiz on Number of Solutions of an Equation24 mins
Rivers of India30 mins
Champ Quiz | Decoding the Economic Sectors52 mins
Role of a Comma44 mins
Champ Quiz | Marathon walk of Dandi36 mins
Champ Quiz | Vital Processes of Life42 mins
Parallel combination of resistors36 mins
Nature of Roots of Quadratic EquationsFREE Class
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses