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555-605 (Medium)|   Geometry|      
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TheNightKing
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GMAT 1: 600 Q46 V27
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The perimeter of a rectangle is 66 ⅔% of perimeter of a square whose 26 Jan 2020, 16:46
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25% (medium)

Question Stats:

85% (02:04) correct 15% (02:35) wrong based on 40 sessions

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The perimeter of a rectangle is 66 ⅔% of perimeter of a square whose side is 24 m. If breadth of rectangle is 14 m then its area will be
(a) 225 m²
(b) 252 m²
(c) 262 m²
(d) 272 m²
(e) 244 m²
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B
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rajatchopra1994
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The perimeter of a rectangle is 66 ⅔% of perimeter of a square whose 26 Jan 2020, 22:30
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TheNightKing
The perimeter of a rectangle is 66 ⅔% of perimeter of a square whose side is 24 m. If breadth of rectangle is 14 m then its area will be
(a) 225 m²
(b) 252 m²
(c) 262 m²
(d) 272 m²
(e) 244 m²
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Explanation:

Perimeter of Square: 24x4 = 96
Perimeter of rectangle: 96x (66.67/100) = 64
2(Length + Breadth) = 64
Length + 14 = 32
Length = 18

Area = LXB = 18x14 = 252 m²

IMO-B
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ajaymahadev
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The perimeter of a rectangle is 66 ⅔% of perimeter of a square whose 26 Jan 2020, 22:43
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let the perimeter of the rectangle = p
then p = 66 2/3 % of perimeter of square of side 24 which means

p = (200/3)(1/100)(4*24) = 64

let length of the rectangle equal l
then

2(l+14) = 64 which gives l as 18.

so area = 14 * 18 = 252
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Jawad001
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Given that, the side of square = 24 meter
So the perimeter of the square = 24*4 =96 meter
Perimeter of the rectangle = (200/300) * 96 meter = 64 meter
Now, Perimeter, 2(x + 14) = 64, Length = x meter
X + 14 = 32
X = 18
Area of rectangle = Length * Breadth = 18*14 = 252 square meter(B)
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