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If the area of a rectangle is equal to the area of a square, then the

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If the area of a rectangle is equal to the area of a square, then the perimeter of the rectangle must be

(A) one half of the perimeter of the square
(B) equal to the perimeter of the square
(C) equal to twice the perimeter of the square
(D) equal to the square root of the perimeter of the square
(E) none of the above
[Reveal] Spoiler: OA

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Re: If the area of a rectangle is equal to the area of a square, then the [#permalink]

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New post 22 Oct 2017, 06:22
Bunuel wrote:
If the area of a rectangle is equal to the area of a square, then the perimeter of the rectangle must be

(A) one half of the perimeter of the square
(B) equal to the perimeter of the square
(C) equal to twice the perimeter of the square
(D) equal to the square root of the perimeter of the square
(E) none of the above


Area of a rectangle = Area of a square
lb = s*s
Perimeter of the square = 4s = \(4\sqrt{lb}\)
Perimeter of the rectangle = 2l + 2b which can't be expressed just in terms of the perimeter of the square

Therefore, answer is E.

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Re: If the area of a rectangle is equal to the area of a square, then the [#permalink]

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New post 25 Oct 2017, 12:57
Bunuel, besides you who can I follow to get new quant questions on a regular basis?

E, for this one I plugged in numbers. A square with sides of 4, a rectangle with a length of 2 and width of 8. I then check my numbers with a square with sides of 10 and rectangle with a length of 4 and width of 25. The ratios of the perimeter were different, but I went ahead and checked the answer anyway.
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New post 25 Oct 2017, 22:40
Plunkster82 wrote:
Bunuel, besides you who can I follow to get new quant questions on a regular basis?



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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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: If the area of a rectangle is equal to the area of a square, then the [#permalink]

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New post 30 Oct 2017, 13:57
Bunuel wrote:
If the area of a rectangle is equal to the area of a square, then the perimeter of the rectangle must be

(A) one half of the perimeter of the square
(B) equal to the perimeter of the square
(C) equal to twice the perimeter of the square
(D) equal to the square root of the perimeter of the square
(E) none of the above


Let’s say the rectangle has dimensions 2 and 8, and the square has a side length of 4. Each shape has an area of 16. The perimeter of the rectangle is 2(2 + 8) = 20 and that of the square is 4(4) = 16. We see that none of choices A to D are correct, so the correct answer is choice E.

Answer: E
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Kudos [?]: 900 [0], given: 5

Re: If the area of a rectangle is equal to the area of a square, then the   [#permalink] 30 Oct 2017, 13:57
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