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The perimeters of two squares are 40 cm and 32 cm.  Find the perimeter of a third square  whose area is equal to the difference  of he areas of the two squares.


Options:
A .  24 cm
B .  25 cm
C .  26 cm
D .  27 cm
Answer: Option A

Side of first square = `(40/4)` cm = 10 cm.

Side of second square  =`(32/4)` cm = 8 cm.

Area of third square  =` [(10)^2 - (8)^2]  cm^2`  = (100 - 64) `cm^2` = 36`cm^2`

Side of third square =  `sqrt(36)` = 6 cm.

`:.`    Required perimeter  = (6 x 4) cm = 24 cm.



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