A. 65
B. 129
C. 4158
D. 4160
E. 130
Let's set a constraint for the area and dimensions:
2(l+w) <=258
(l+w) <=129
case1
l+w=129
128,1
127,2
126,3
65,64
64 pairs
Case2
l+w=128
127,1
126,2
125,3
65,63
64,64
64 pairs
for (l+w)=127 and 126 we will get 63 pairs
for (l+w)=3 and 2 we get 1 pair.
SUM formula= = 64*65 = Answer D

1 comment:
There was a time when I used to practice for GMAT & GRE exams. At that time I was pro at math section especially at solving rectangle and square kind of questions. The way you have solved this question is absolutely correct but it is quite lengthy. Nowadays students are looking for more and more short tricks to solve questions like these in a few seconds. So try to provide some short tricks to solve these questions.
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