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Following rectangles are possible:

1 42
2 21
3 14
6 7
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k>w
both integers, we have the below situations:
w=1 => k=42
w=2 => k=21
w=3 => k=14
w=6 => k=7

other options will not be k>w - therefore, we have 4 options for k
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as we know that k>w we need to find the factors of 42 that are true considering the given information:

42 =

42 x 1
21 x 2
14 x 3
7 x 6

So k could be 42, 21, 14 and 7

Answer is C
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jlgdr
If k and w are the dimensions of a rectangle that has area 42, and if k and w are integers such that k > w, what is the total number of possible values of k?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
Possible values are -
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Answer will be (B)
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