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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
The area of a rectangular garden would be increased by 150 square feet
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22 Dec 2022, 06:50
22 Dec 2022, 06:50
Expert Reply
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Question Stats:
76% (02:49) correct
23% (02:26) wrong based on 13 sessions
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The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?
A. 600
B. 525
C. 375
D. 300
E. 225
A. 600
B. 525
C. 375
D. 300
E. 225
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: The area of a rectangular garden would be increased by 150 square feet
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24 Dec 2022, 02:14
24 Dec 2022, 02:14
1
Expert Reply
Area = l*b
New Area = 150+l*b = (l+7.5)*b
i.e b = 20
New Area = 150+l*b = (l)*(b+5)
i.e l = 30
Area = l*b = 30*20 = 600
Answer: A
New Area = 150+l*b = (l+7.5)*b
i.e b = 20
New Area = 150+l*b = (l)*(b+5)
i.e l = 30
Area = l*b = 30*20 = 600
Answer: A
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: The area of a rectangular garden would be increased by 150 square feet
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02 Jan 2023, 13:04
02 Jan 2023, 13:04
1
GeminiHeat wrote:
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?
A. 600
B. 525
C. 375
D. 300
E. 225
A. 600
B. 525
C. 375
D. 300
E. 225
Let L = the ORIGINAL length of the rectangle
Let W = the ORIGINAL width of the rectangle
So, LW = the ORIGINAL area of the rectangle
The area of a rectangular garden would be increased by 150 square feet if the length were increased by 7.5 feet
So we have the following "word equation": (area of NEW rectangle) - (area of ORIGINAL rectangle) = 150
NEW length = L + 7.5
In this case, the width remains at W
So, the NEW area = (L + 7.5)(W)
Plug values into the word equation to get: (L + 7.5)(W) - LW = 150
Expand: LW + 7.5W - LW = 150
Simplify: 7.5W = 150
Divide both sides by 7.5 to get: W = 20
The area of a rectangular garden would be increased by 150 square feet if the width were increased by 5 feet
Once again, we have the "word equation": (area of NEW rectangle) - (area of ORIGINAL rectangle) = 150
NEW with = W + 5
In this case, the length remains at L
So, the NEW area = (L)(W + 5)
Plug values into the word equation to get: (L)(W + 5) - LW = 150
Expand: LW + 5L - LW = 150
Simplify: 5L = 150
Divide both sides by 5 to get: L = 30
What is the area of the garden, in square feet?
ORIGINAL area of the rectangle = LW
= (30)(20)
= 600
Answer: A
Cheers,
Brent
