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# If the area of a square region having sides of length 6 centimeters is

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Math Expert
Joined: 02 Sep 2009
Posts: 49858
If the area of a square region having sides of length 6 centimeters is  [#permalink]

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01 Aug 2018, 23:26
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Difficulty:

5% (low)

Question Stats:

97% (00:56) correct 3% (05:42) wrong based on 30 sessions

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If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

A. 8.5
B. 9.5
C. 9.6
D. 10.5
E. 14.4

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If the area of a square region having sides of length 6 centimeters is  [#permalink]

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01 Aug 2018, 23:33
Bunuel wrote:
If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

A. 8.5
B. 9.5
C. 9.6
D. 10.5
E. 14.4

From the question stem, we can deduce that the areas must be the same.

Since we can equate the area of a rectangle to that of a square,
$$side^2 = length * breadth$$ -> $$length = \frac{side^2}{breadth}$$

Therefore, the length of the rectangle is $$\frac{6^2}{\frac{5}{2}} = \frac{36*2}{5} =$$ 14.4(Option E)
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If the area of a square region having sides of length 6 centimeters is &nbs [#permalink] 01 Aug 2018, 23:33
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