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The diagonal of a rectangle is `sqrt(41)` and is area is 20 sq. cm.  he perimeter of the rectangle must be :


Options:
A .  9 cm
B .  18 cm
C .  20 cm
D .  41 cm.
Answer: Option B

`sqrt(l^2  + b^2) = sqrt(41)    or l^2 + b^2  = 41.      Also  lb = 20.`

`(l^2 + b^2) = (l^2 + b^2 + 2lb` = 41 + 40 =  81

`rArr   (l + b) = 9`

`:.`    perimeter =  2(l + b) =  18 cm.



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