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Is the perimeter of a certain rectangular garden greater than 50 meter

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gmatt1476
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Is the perimeter of a certain rectangular garden greater than 50 meter [#permalink] New post   21 Sep 2019, 18:37
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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.


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Re: Is the perimeter of a certain rectangular garden greater than 50 meter [#permalink] New post   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
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Is the perimeter of a certain rectangular garden greater than 50 meter [#permalink] New post   28 Sep 2019, 14:35
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gmatt1476 wrote:
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.


(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
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Re: Is the perimeter of a certain rectangular garden greater than 50 meter [#permalink] New post   02 Oct 2019, 15:40
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The question is:

is 2l +2w >50?

(1) The two shorter sides (width) are each 15m
2l +2(15)>50?
2l > 20?
l > 10?

Well we know the width is the shortest side and the width is 15m, so the Length must logically be greater than 15...so this is sufficient


(2)
l=w+5
2(w+5) +2w >50?
4w>40
w>10?
we don't know...
Insufficient
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Re: Is the perimeter of a certain rectangular garden greater than 50 meter [#permalink] New post   14 Oct 2020, 13:07
(1) The two shorter sides are 15. that means longer side must be atleast 15.1.
add 15+15+15.1+15.1> 50

Sufficient

(2) width + 5 = Length
width can be anything from 0.1 to infinite. various possible answers.

Not sufficient
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Re: Is the perimeter of a certain rectangular garden greater than 50 meter [#permalink] New post   12 Nov 2020, 04:34
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.

If the shorter sides are each 15 meters long, the longer sides must be at least 15 meters long.

Perimeter > 60. SUFFICIENT.

(2) The length of the garden is 5 meters greater than the width of the garden.

Clearly insufficient.

Answer is A.
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Re: DS: Perimeter [#permalink] New post   01 Jun 2023, 02:49
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Re: DS: Perimeter [#permalink]
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