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If the length and width of a rectangular garden plot were ea

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If the length and width of a rectangular garden plot were ea [#permalink] New post 10 Feb 2014, 23:58
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

(A) 20%
(B) 24%
(C) 36%
(D) 40%
(E) 44%

Problem Solving
Question: 89
Category: Geometry Area
Page: 73
Difficulty: 600


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Re: If the length and width of a rectangular garden plot were ea [#permalink] New post 10 Feb 2014, 23:58
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SOLUTION

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

(A) 20%
(B) 24%
(C) 36%
(D) 40%
(E) 44%

Original area = LW;
New area = (1.2L)(1.2W) = 1.44LW.

The percent increase = 44%.

Answer: E.

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Re: If the length and width of a rectangular garden plot were ea [#permalink] New post 11 Feb 2014, 00:30
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Let initial length and width be l and w respectively.

Initial area = lw

New length = (6/5) l
New width = (6/5) w

New area = (36/25) lw or 144%.

Hence, increase of 44%

Answer (E).
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Re: If the length and width of a rectangular garden plot were ea [#permalink] New post 12 Feb 2014, 04:49
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The quickest way to do this is to pick numbers: l = 10 & w = 10;
Note: Both l & w can be same as a square is also a rectangle.

Original area = lw =10 * 10 = 100;

Since l & w are increased by 20% each, l & w = 12;
New area = lw = 12 * 12 = 144;

% increase in area = 144 - 100 = 44%.

Ans is (E).
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Re: If the length and width of a rectangular garden plot were ea [#permalink] New post 12 Feb 2014, 06:09
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Diffculty - Sub600

My method might seem long but once you get a hang of it, it seems easier.


Whenever we are asked to "increase" any quantity by some precentage value. Add that value with 100 and then perform the operations.

As in this case the sides are increased by 20%
By adding 20 to 100 we will get 120%
Both the sides are increased by 20% , therefore we have l=120% and b=120%

We have to find the area, formula for the area is l*b = 120%*120% = 14400 = 14400/100 = 144%

Remove the original 100 back to get 44%

Remember when we say 120 percent length, it means 100% of original length + 20% is the increament



You can use it with decimal too.
suppose l = x and b = y
Area = xy
New l2 = 1.2x (Why 1.2? becasuse original was 1x and it increased by 20% which is 0.2)
b2 = 1.2y
Area = 1.2x *1.2y = 1.44 xy

Last edited by b2bt on 15 Feb 2014, 06:57, edited 1 time in total.
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Kudos [?]: 22210 [0], given: 2601

Re: If the length and width of a rectangular garden plot were ea [#permalink] New post 15 Feb 2014, 06:08
Expert's post
SOLUTION

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

(A) 20%
(B) 24%
(C) 36%
(D) 40%
(E) 44%

Original area = LW;
New area = (1.2L)(1.2W) = 1.44LW.

The percent increase = 44%.

Answer: E.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If the length and width of a rectangular garden plot were ea   [#permalink] 15 Feb 2014, 06:08
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