l = 10	l > 10	Total
w = 10	22	8	30
w > 10	18	32	50
Total	40	40	80

Condition: Perimeter > 40
2(l + w) > 40
l + w > 20
Number of rectangles satisfying this condition = 8 + 18 + 32 = 58

Answer: D

grichagupta

"20 percent of rectangles that are greater than 10 inches long are exactly 10 inches wide"
l>10 w=10 : (20%*40) = 8, then you just complete the rest of the table.

Thank you, this helped.
I was confused with the wording "20 percent of rectangles that are greater than 10 inches long are exactly 10 inches wide"

Given by the question:

.................Exactly 10 ................ > 10......... Total

Length ........40 ...............................................80
Width .......... .................................50..............80

We can infer the:

.................Exactly 10 ................ > 10 ......... Total

Length ........40 .............................40 .............80
Width ...........30.............................50 .............80

20% of 40 rectangles (>10 length) are 8 rectangles. They are a part of 30 that have exactly 10 width. So other 22 rectangles must have exactly 10 length too.
So only 22 rectangles have exactly 10 length and exactly 10 width which gives exactly 40 perimeter.

Rest 80 - 22 = 58 rectangles must have perimeter greater than 40.
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