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A rectangular paper, when folded into two congruent pars had a perimeter of 34cm for each part folded along one set of sides and the same is 38 cm  when folded along the other set of sides. What is he area of the  paper ?


Options:
A .  140 `cm^2`
B .  240 `cm^2`
C .  560 `cm^2`
D .  None of these
Answer: Option A

When folded along breadth , we have  :     `2(l/2 + b) = 34 ` or  l + 2b = 34 ..................................(i)

when folded along length , we have  : `  2(l + b/2) = 38     or 2l + b = 38` ......................................(ii)

Solving (i) and (ii) , we get  :  l = 14  and  b = 10.

`:.`       Area of the paper  = (14 x 10) `cm^2`       = 140 `cm^2`



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