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21 Sep 2019, 18:37
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A
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Difficulty:
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Question Stats:
72% (01:04) correct
28%
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Is the perimeter of a certain rectangular garden greater than 50 meters?
(1) The two shorter sides of the garden are each 15 meters long.
(2) The length of the garden is 5 meters greater than the width of the garden.
DS53402.01
(1) The two shorter sides of the garden are each 15 meters long.
(2) The length of the garden is 5 meters greater than the width of the garden.
DS53402.01
23 Sep 2019, 23:46
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Is the perimeter of a certain rectangular garden greater than 50 meters?
STATEMENT (1) The two shorter sides of the garden are each 15 meters long.
-- the length of shorter sides = 15 each
longer side will be > 15
let the length of longer sides be 15.1
perimeter = 2(15+15.1) >50
the perimeter of the rectangle will always be greater than 50
SUFFICIENT
STATEMENT (2) The length of the garden is 5 meters greater than the width of the garden.
let the width of the garden = x
length = x+5
perimeter = 2(2x+5)
we don't know the value of x so we cant find the perimeter
INSUFFICIENT
A is the answer
STATEMENT (1) The two shorter sides of the garden are each 15 meters long.
-- the length of shorter sides = 15 each
longer side will be > 15
let the length of longer sides be 15.1
perimeter = 2(15+15.1) >50
the perimeter of the rectangle will always be greater than 50
SUFFICIENT
STATEMENT (2) The length of the garden is 5 meters greater than the width of the garden.
let the width of the garden = x
length = x+5
perimeter = 2(2x+5)
we don't know the value of x so we cant find the perimeter
INSUFFICIENT
A is the answer
MikeScarn
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Schools: Tuck '24 (WA) Harvard '24 (D) Kellogg '24 (WA) Wharton '24 (D) Haas '24 (D) Sloan '24 (D) Fuqua '24 (D) Booth '24 (M) Yale '24 (A$)
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Posts: 275
28 Sep 2019, 14:35
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gmatt1476
(1) We know two the two shorter sides are 15. We don't know the length of the two longer sides.
Not sufficient, right?
Wait a minute, if the two shorter sides are 15, then the other sides must be greater than 15.
15+15+15.1+15.1 = 60.2
Sufficient
(2) width + 5 = Length
Perimeter could be infinitely high.
Perimeter could be under 50. Say Width = 1 and Length = 6
1+1+6+6 = 14.
Not sufficient
