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How many squares with sides 1/2 inch long are needed to cover a rectan

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How many squares with sides 1/2 inch long are needed to cover a rectan [#permalink]

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New post 02 Nov 2017, 23:08
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How many squares with sides 1/2 inch long are needed to cover a rectangle that is 6 feet long and 4 feet wide? (1 foot = 12 inches)

(A) 24
(B) 96
(C) 3,456
(D) 13,824
(E) 14,266
Spoiler: OA

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Re: How many squares with sides 1/2 inch long are needed to cover a rectan [#permalink]

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New post 03 Nov 2017, 00:15
Bunuel wrote:
How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide? (1 foot = 12 inches)

(A) 24
(B) 96
(C) 3,456
(D) 13,824
(E) 14,266


The first step is to convert the rectangle to inches.
Since the rectangle is 4 ft by 6 ft, the dimensions of the rectangle will be 48 inch by 72 inch.
We have been asked to find out how many square of side 0.5 inch are needed to cover this rectangle.

The area covered by the rectangle is 48*72 inch and we will be needing x squares to cover this rectangle.

\(0.5*0.5*x = 48*72\)

\(x = \frac{48}{0.5} * \frac{72}{0.5} = 96 * 144 = 13824\)(Option D)
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Re: How many squares with sides 1/2 inch long are needed to cover a rectan [#permalink]

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New post 04 Nov 2017, 01:36
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Bunuel wrote:
How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide? (1 foot = 12 inches)

(A) 24
(B) 96
(C) 3,456
(D) 13,824
(E) 14,266


Hi Bunuel,

As per my understanding, length is always greater than width.

Is it OK to say length is 4ft and width is 6ft? This implies that width is greater than length.
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Re: How many squares with sides 1/2 inch long are needed to cover a rectan [#permalink]

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New post 04 Nov 2017, 01:38
Jabjagotabhisavera wrote:
Bunuel wrote:
How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide? (1 foot = 12 inches)

(A) 24
(B) 96
(C) 3,456
(D) 13,824
(E) 14,266


Hi Bunuel,

As per my understanding, length is always greater than width.

Is it OK to say length is 4ft and width is 6ft? This implies that width is greater than length.


You are right length > width. Edited.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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: How many squares with sides 1/2 inch long are needed to cover a rectan   [#permalink] 04 Nov 2017, 01:38
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