Q4 of 23 Page 283

Let us draw the squares whose areas are equal to the areas of the rectangles by taking following lengths as its sides:

7.9cm., 4.1cm.

Construction steps:


1. Draw a rectangle ABCD with length, AB = 7.9 cm and breadth, BC = 4.1 cm.



2. Extend CD to CE, such that CE = BC = 4.1 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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