Q. 4 B4.7( 3 Votes )

# <span lang="EN-US

Answer :

**Construction steps:**

1. Draw a rectangle ABCD with length, AB = 6 cm and breadth, BC = 4 cm.

2. Extend CD to CE, such that CE = BC = 4 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

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<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics