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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2509
Given Kudos: 1058
GPA: 3.39
What is the minimum possible perimeter of a quadrilateral with an area
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02 Mar 2021, 07:00
02 Mar 2021, 07:00
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Question Stats:
78% (01:29) correct
21% (00:52) wrong based on 14 sessions
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What is the minimum possible perimeter in foot of a quadrilateral with an area of 1,600 square feet?
A. 80
B. 90
C. 120
D. 160
E. 180
A. 80
B. 90
C. 120
D. 160
E. 180
Re: What is the minimum possible perimeter of a quadrilateral with an area
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02 Mar 2021, 07:08
02 Mar 2021, 07:08
1
square will have minimum perimeter
so side of square =\sqrt{1600}=40 ft
now perimeter of square = 4*40 =160
option D is correct
so side of square =\sqrt{1600}=40 ft
now perimeter of square = 4*40 =160
option D is correct
Re: What is the minimum possible perimeter of a quadrilateral with an area
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22 Jul 2022, 22:40
22 Jul 2022, 22:40
1
The quadrilateral with a minimum perimeter for a given area is a square. Since the area of a square is the side length squared, you can solve the equation x^2=1600 ft^2 for the side length x,
yielding x = 40 ft. The perimeter, which is four times the side length, is (4)(40 ft), which equals 160 ft.
yielding x = 40 ft. The perimeter, which is four times the side length, is (4)(40 ft), which equals 160 ft.
