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The perimeter of a rectangular garden is 360 ft. What is the

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by BTGmoderatorDC » Sat Feb 02, 2019 4:13 pm

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The perimeter of a rectangular garden is 360 ft. What is the length of the garden?

1) the length of the garden is twice the width
2) the difference between the length and width of the garden is 60 ft

OA D

Source: Official Guide
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Mon Feb 04, 2019 12:06 am
BTGmoderatorDC wrote:The perimeter of a rectangular garden is 360 ft. What is the length of the garden?

1) the length of the garden is twice the width
2) the difference between the length and width of the garden is 60 ft

OA D

Source: Official Guide
Perimeter of a rectangular garden = 2(a + b) = 360; where a = length and b = width

We have to determine the value of a.

Let's take each statement one by one.

1) The length of the garden is twice the width.

=> a = 2b

Thus, from 2(a + b) = 360 and a = 2b, we have 2(2b + b) = 360 => b = 60 and a = 2b = 120. Sufficient.

2) The difference between the length and width of the garden is 60 ft.

=> a - b = 60

Thus, from 2(a + b) = 360 and a - b = 60, we have a = 120. Sufficient.


The correct answer: D

Hope this helps!

-Jay
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