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A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangu

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A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangu

by VJesus12 » Fri Oct 16, 2020 1:25 am

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A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet? (43,560 square feet = 1 acre)

A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150

Answer: E

Source: GMAT Prep
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Re: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rect

by deloitte247 » Fri Oct 23, 2020 2:57 pm
Rectangular plot = 360 ft by 650 ft
$$Area\ of\ plot=360\cdot650=217,800ft^2$$
$$1\ acre=43560ft^2$$
$$x\ acre=217800ft^2$$
$$x=\frac{217800}{43560}=5acres$$
So, the farmer rents 5 acres per month and he pays $30 per acre.
Therefore, for 5 acres, rent per month = $30 * 5 = $150

Answer = option E
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Re: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rect

by swerve » Fri Oct 23, 2020 4:20 pm
VJesus12 wrote: ↑
Fri Oct 16, 2020 1:25 am
 A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet? (43,560 square feet = 1 acre)

A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150

Answer: E

Source: GMAT Prep
The first step is to figure out the total number of acres that the farmer wants to rent.

Since we are given that the farmland is a rectangular plot, the area must be \(360\cdot 605\).

The total number of acres is \(\dfrac{360\cdot 605}{43560}=\dfrac{36\cdot 605}{4356}=\dfrac{605}{121}=5\)

Therefore, the cost that the farmer pays in a month is \(5\cdot $30 = $150 \Longrightarrow \)E
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