SOLUTION: a length of verandah is 3cm more than its breath.the numerical value of its atea is equal the numerical value of its perimeier.find the length of verandah

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Question 1027788: a length of verandah is 3cm more than its breath.the numerical value of its atea is equal the numerical value of its perimeier.find the length of verandah
Answer by PURVI(1) About Me  (Show Source):
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L = 3 +B
and L×B = 2(L+B)
⇒(3+B)×B = 2[3+B +B] = 2(3+2B)
⇒B²+3B = 6 +4B
⇒B²- B -6 =0
⇒B²-3B +2B -6 =0
⇒B(B-3) + 2(B-3) =0
⇒(B-3)(B+2)=0
∴B = 3 cm since value cannot be negative
so length = 3+3 = 6 cm