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# The figure above shows a large square formed by fitting thre

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Founder
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The figure above shows a large square formed by fitting thre [#permalink]  17 Oct 2019, 04:17
Expert's post
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Question Stats:

55% (01:44) correct 44% (02:12) wrong based on 29 sessions
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#greprepclub The figure above shows a large square formed by fitting three L-shaped tiles.jpg [ 12.9 KiB | Viewed 979 times ]

The figure above shows a large square formed by fitting three L-shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?

(A) 810

(B) 405

(C) 270

(D) 135

(E) 45

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 12537
Followers: 267

Kudos [?]: 3163 [0], given: 11602

Re: The figure above shows a large square formed by fitting thre [#permalink]  17 Oct 2019, 04:19
Expert's post
Area of rectangular region in sq feet = 10 * 12 = 120
Since 1 feet = 12 inches
Area of rectangular region in sq inches = 120 * 144
Area of square in sq inches = 64
Number of squares required to cover rectangular region = (120 * 144) / 64 = 270
Number of L-shaped tiles in each square = 3
So, Total number of L-shaped tiles required = 270 * 3 = 810

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Manager
Joined: 01 Jan 2020
Posts: 112
Concentration: Marketing
Schools: Copenhagen Business School - Class of 2022
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Kudos [?]: 57 [0], given: 46

Re: The figure above shows a large square formed by fitting thre [#permalink]  19 Mar 2020, 04:56
Carcass wrote:
Area of rectangular region in sq feet = 10 * 12 = 120
Since 1 feet = 12 inches
Area of rectangular region in sq inches = 120 * 144
Area of square in sq inches = 64
Number of squares required to cover rectangular region = (120 * 144) / 64 = 270
Number of L-shaped tiles in each square = 3
So, Total number of L-shaped tiles required = 270 * 3 = 810

Hej Carcass,

I guess we have to know the conversions for inches and other units at the exam by heart?
Founder
Joined: 18 Apr 2015
Posts: 12537
Followers: 267

Kudos [?]: 3163 [0], given: 11602

Re: The figure above shows a large square formed by fitting thre [#permalink]  19 Mar 2020, 10:45
Expert's post
Yes. Definitely

However, in the actual real GRE question (this is an official question BUT it comes from the Big Book and maybe at the time they did not point out) there is always, or should, a unit conversion.

For instance, the question talks about miles and kilometers and the question cites: 1 mile= 1,600 km (1 km and 600 meters roughly )

So indeed, it is not the main concern.

Regards
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Manager
Joined: 01 Jan 2020
Posts: 112
Concentration: Marketing
Schools: Copenhagen Business School - Class of 2022
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Re: The figure above shows a large square formed by fitting thre [#permalink]  23 Mar 2020, 02:47
1
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Thank you for the clarification.

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Re: The figure above shows a large square formed by fitting thre   [#permalink] 23 Mar 2020, 02:47
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