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# What is the perimeter of a square chessboard, if a chessboard is made

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
What is the perimeter of a square chessboard, if a chessboard is made  [#permalink]

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29 Aug 2018, 02:39
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Difficulty:

15% (low)

Question Stats:

96% (01:08) correct 4% (00:13) wrong based on 31 sessions

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What is the perimeter of a square chessboard, if a chessboard is made of 8 rows of 8 equal squares?

(1) The sum of the perimeters of all 64 squares on the board is 320 units.
(2) The perimeter of a single square is 5 units.

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Joined: 20 Feb 2015
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Concentration: Strategy, General Management
Re: What is the perimeter of a square chessboard, if a chessboard is made  [#permalink]

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29 Aug 2018, 02:51
Bunuel wrote:
What is the perimeter of a square chessboard, if a chessboard is made of 8 rows of 8 equal squares?

(1) The sum of the perimeters of all 64 squares on the board is 320 units.
(2) The perimeter of a single square is 5 units.

(1) The sum of the perimeters of all 64 squares on the board is 320 units.
Let the perimeter of the larger square be 4A and smaller square be 4a
now
n*4a = 320
a = 320/64*4 = 5/4

A= 8*5/4 = 10
perimeter of the larger sq = 40
sufficient

(2) The perimeter of a single square is 5 units.
4a=5
a=5/4

sufficient

D
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Joined: 07 Oct 2017
Posts: 252
Re: What is the perimeter of a square chessboard, if a chessboard is made  [#permalink]

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29 Aug 2018, 03:01
Bunuel wrote:
What is the perimeter of a square chessboard, if a chessboard is made of 8 rows of 8 equal squares?

(1) The sum of the perimeters of all 64 squares on the board is 320 units.
(2) The perimeter of a single square is 5 units.
We have a restricted figure with pre defined square. We only need to know the side of square to know about the perimeter

St1) we can easily deduce side of square from this info

Sufficient

St2) we know the side of one square from this info.
Sufficient

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Re: What is the perimeter of a square chessboard, if a chessboard is made   [#permalink] 29 Aug 2018, 03:01
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