Q. 3 C5.0( 1 Vote )

# <span lang="EN-US

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 = √31 cm

Area of square = 31 cm2

Area of rectangle = length × breadth = 31 cm2

Here, let’s choose length = 6.2 cm and breadth = 5 cm

Construction steps:

1. Draw a rectangle ABCD with length, AB = 6.2 cm and breadth, BC = 5 cm.

2. Extend CD to CE, such that CE = BC = 5 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.

Here,

Area of square CFGH = area of rectangle ABCD = 31 cm2.

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