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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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Math Expert
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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19 Dec 2018, 00:39
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Difficulty:

5% (low)

Question Stats:

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

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A 2-meter by 2-meter sheet of paper is to be cut into 2-centimeter by 10-centimeter rectangles. What is the maximum number of such rectangles that can be cut from the sheet of paper? (1 meter = 100 centimeters)

A. 1500
B. 2000
C. 2100
D. 2200
E. 2500

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

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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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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

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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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