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04 Feb 2020, 01:42
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Joseph is planning to put up a fence around his vegetable garden. The garden is in the shape of a square with an area of 100 square yards. On 2 sides of the garden, Joseph intends to leave a space of 4 feet unfenced so he can install gates. If one yard equals three feet, how many feet of fencing does Joseph need?
A. 32
B. 40
C. 112
D. 120
E. 128
shameekv1989
GMAT 3: 720 Q50 V38
Posts: 827
04 Feb 2020, 02:12
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Joseph is planning to put up a fence around his vegetable garden. The garden is in the shape of a square with an area of 100 square yards. On 2 sides of the garden, Joseph intends to leave a space of 4 feet unfenced so he can install gates. If one yard equals three feet, how many feet of fencing does Joseph need?
A. 32
B. 40
C. 112
D. 120
E. 128
Garden area - 100 sq yards -> side = 10 yard = 30 feet
if Joseph leaves 4 ft on 2 sides then perimeter for fencing = 30 + 30 + 26 + 26 = 112 feet - Answer C
A. 32
B. 40
C. 112
D. 120
E. 128
Garden area - 100 sq yards -> side = 10 yard = 30 feet
if Joseph leaves 4 ft on 2 sides then perimeter for fencing = 30 + 30 + 26 + 26 = 112 feet - Answer C
04 Feb 2020, 02:20
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So, area of a square is 100 yards. It means the side of a square is 10 yards. Converting into feet, so side is 30 feet.
Perimeter of a square is 4*side. Total perimeter - 4*30 - 120 feet. Fence not required - 4*2 - 8 feet.
Fencing need -> 120 - 8 = 112 feet .... 'C' is the winner.
Perimeter of a square is 4*side. Total perimeter - 4*30 - 120 feet. Fence not required - 4*2 - 8 feet.
Fencing need -> 120 - 8 = 112 feet .... 'C' is the winner.
