What is the area of the rectangular region depicted above with sides A and B and diagonal C?
(1) C^2 = 9 + A^2
(2) A + B = 7
A) Since C is the hyp : C^2 = 3^2 + A^2
(3,4,5) is a the pyth triplet. We can consider it : in that case: A = 4 and and area is 12
But it is not given that the lengths of the sides are int's ------> hence we could have some fractions for A and C satisfying C^2 = 9 + A^2 -----> insufficient
B) A + B = 7 ------> Could be (A, B) ----> (1 , 7) : Area = 7
(2, 5) : Area = 10 or (3, 4) Area : 12
C) B = 3 and A + B = 7 hence A = 4 hence area is 12 -----> suff
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