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A rectangular lot 120 feet long by 80 feet wide is to be

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A rectangular lot 120 feet long by 80 feet wide is to be

by AAPL » Thu Aug 08, 2019 3:48 am

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GMAT Paper Tests

A rectangular lot 120 feet long by 80 feet wide is to be partitioned into 10 rectangular gardens. If each of the gardens will have the same dimensions, how many feet of partitioning will be needed to separate the garden?

1) One of the dimensions of each garden is to be 40 feet.
2) One of the dimensions of each garden is to be 24 feet.

OA D
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Aug 12, 2019 5:36 am

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AAPL wrote:GMAT Paper Tests

A rectangular lot 120 feet long by 80 feet wide is to be partitioned into 10 rectangular gardens. If each of the gardens will have the same dimensions, how many feet of partitioning will be needed to separate the garden?

1) One of the dimensions of each garden is to be 40 feet.
2) One of the dimensions of each garden is to be 24 feet.

OA D
Given that the rectangular lot is 120 feet long by 80 feet wide, the total area of the lot = 120*80 = 9,600 sq ft.

Since there are 10 rectangular gardens with equal dimensions, the area of each cut rectangle lot = 9,600/10 = 960 sq ft

We need to find out the measure of the partitioning needed to separate the garden.

1) One of the dimensions of each garden is to be 40 feet.

We know that the area of each cut rectangle lot 960 sq ft; with one dimension being 40 ft, the measure of the partitioning needed to separate the garden = 960/40 = 24 ft. Sufficient.

2) One of the dimensions of each garden is to be 24 feet.

As with Statement 1, we know that the area of each cut rectangle lot 960 sq ft; with one dimension being 24 ft, the measure of the partitioning needed to separate the garden = 960/24 = 40 ft. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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by deloitte247 » Wed Aug 14, 2019 8:41 pm

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Length = 120ft
Breadth = 80ft
$$Total\ area=120\cdot80=9600ft^2$$
If partitioned into 10 rectangular gardens, then area of each rectangular garden = 9600/10 = 960 ft^2.

So, the questor bothers on how many feet of partitioning will be needed to separate the garden.
Statement 1: One of the dimensions of each garden is to be 40ft.
And, Area = length * Breadth
$$960=length\cdot40$$ $$l=\frac{960}{40}=24ft$$
$$l=\frac{960}{40}=24ft$$
Hence, we have 40ft * 24ft rectangules. The 24 ft will fill the 120 ft 5 times and the 40ft in 80ft direction will go 2 times. So, the 10 rectangular gardens will be 2*5 or 5*2.
Partition to separate each garden = Perimeter of each garden = l+b
= 40 + 24 = 64ft.
Therefore, 64ft partition is needed to separate the garden. Hence, statement 1 is SUFFICIENT.

Statement 2: One of each dimension of each garden is to be 24 ft.
Area = length * Breadth
$$960=24\cdot breadth$$
$$b=\frac{960}{24}=40ft$$
Hence, we have 40ft *24ft rectangules. This is the same as statement 1, so therefore, statement 2 is also SUFFICIENT.

Conclusively, each statement alone is SUFFICIENT. Thus, the correct answer is Option D.

Thanks
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