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A 2-meter by 2-meter sheet of paper is to be cut into 2-centimeter by

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Joined: 02 Sep 2009
Posts: 55803
A 2-meter by 2-meter sheet of paper is to be cut into 2-centimeter by  [#permalink]

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New post 19 Dec 2018, 00:39
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

98% (01:14) correct 2% (02:40) wrong based on 71 sessions

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Joined: 30 Mar 2018
Posts: 27
Location: India
Concentration: Marketing, Nonprofit
GMAT 1: 650 Q44 V35
WE: Research (Non-Profit and Government)
Re: A 2-meter by 2-meter sheet of paper is to be cut into 2-centimeter by  [#permalink]

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New post 01 Jan 2019, 12:07
To calculate the possible number of squares, use the simple logic of total area/required area.

In this case, total area = 2 metres * 2 metres (200 cm * 200 cm) = 40000 cm
Required area of the rectangle = 2cm *10cm = 20 cm

Possible number of squares = 40000/20 = 2000

An easy way to look at it is how many squares of a specific dimension will "fit" given the dimensions.

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A 2-meter by 2-meter sheet of paper is to be cut into 2-centimeter by  [#permalink]

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New post 01 Jan 2019, 20:46

Solution


Given:
    • Dimensions of a sheet of paper = 2m x 2m
    • This is cut into 2cm x 10cm rectangles

To find:
    • The maximum number of rectangles that can be cut from the sheet of paper

Approach and Working:
    • Area of the sheet of paper = \(2m * 2m = 4 * 10^4 cm^2\)
    • Area of a piece of rectangular paper =\(2 * 10 = 20 cm^2\)

Thus, total number of rectangular pieces that can be cut = 4 * 10^4/20 = 2000

Hence, the correct answer is Option B

Answer: B
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A 2-meter by 2-meter sheet of paper is to be cut into 2-centimeter by   [#permalink] 01 Jan 2019, 20:46
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