Question 188381
P = 200 = 2(L + w ) Dividing by 2 we have (L + w) = 100 …….  Eqn(1)
Area = Lw  = 2491 sq.cms
(L – w)^2  =  (L + w)^2 – 4Lw    pluging in the values of (L+w) and Lw we get
(L – w)^2  = 100^2 – 4(2491)  = 100000 – 9964  = 36 
Taking square roots   (L – w) = 6  ……………. ... Eqn(2)
We have		    (L + w) = 100 ……………. Eqn(1)
Adding Eqn(1) and Eqn(2) 2L = 106
Dividing by 2  we get  L = 106/2 = 53
Substituting in Eq(1)    53 + w = 100, so w = 100 – 53 = 47
Answer:  Length = 53 cms and Width = 47 cms




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