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# If a square's side is increased from 5 units long to 6 units long, whi

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Math Expert
Joined: 02 Sep 2009
Posts: 52153
If a square's side is increased from 5 units long to 6 units long, whi  [#permalink]

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25 Dec 2017, 23:22
00:00

Difficulty:

15% (low)

Question Stats:

87% (00:40) correct 13% (00:47) wrong based on 48 sessions

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If a square's side is increased from 5 units long to 6 units long, which of the following is the percent by which the area is increased?

A. 1%
B. 4%
C. 11%
D. 36%
E. 44%

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Joined: 07 Dec 2017
Posts: 867
Re: If a square's side is increased from 5 units long to 6 units long, whi  [#permalink]

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26 Dec 2017, 00:59
Bunuel wrote:
If a square's side is increased from 5 units long to 6 units long, which of the following is the percent by which the area is increased?

A. 1%
B. 4%
C. 11%
D. 36%
E. 44%

As this is a very simple cacluation, we'll just do it.
This is a Precise approach.

We're asked to calculate (increase from 5^2 to 6^2)/(area of 5^2)
This is (6^2 - 5^2)/5^2 = (36 - 25)/25 = 11/25 = 44/100 = 44%
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If a square's side is increased from 5 units long to 6 units long, whi  [#permalink]

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26 Dec 2017, 01:21
Bunuel wrote:
If a square's side is increased from 5 units long to 6 units long, which of the following is the percent by which the area is increased?

A. 1%
B. 4%
C. 11%
D. 36%
E. 44%

Current Area= 5*5= 25
New Area= 6*6=36

% Change= (New Area- Current Area)/(Current Area)*100 = $$((36-25)/36)*100= (11/25)*100= 44$$%. Hence E.
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Joined: 24 Nov 2016
Posts: 152
Re: If a square's side is increased from 5 units long to 6 units long, whi  [#permalink]

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26 Dec 2017, 17:00
Bunuel wrote:
If a square's side is increased from 5 units long to 6 units long, which of the following is the percent by which the area is increased?

A. 1%
B. 4%
C. 11%
D. 36%
E. 44%

Area of a square: $$side^2$$

Square with side 5, has an area of: $$side^2=5^2=25$$
Square with side 6, has an area of: $$side^2=6^2=36$$

Percentage change: $$\frac{After-Before}{Before}=\frac{36-25}{25}=\frac{11}{25}=0.44$$=44%.

Re: If a square's side is increased from 5 units long to 6 units long, whi &nbs [#permalink] 26 Dec 2017, 17:00
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