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A square picture frame has a side of [m]10[square_root]2[/square_root]
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22 Aug 2022, 01:40
22 Aug 2022, 01:40
Expert Reply
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Question Stats:
87% (00:56) correct
12% (01:12) wrong based on 16 sessions
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A square picture frame has a side of \(10\sqrt{2}\) on its outer edge. The area of the picture enclosed by the frame is 50% of the entire area. What is the area of the picture?
A. 100
B. 40
C. 50
D. 25
E. 10
A. 100
B. 40
C. 50
D. 25
E. 10
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A square picture frame has a side of [m]10[square_root]2[/square_root]
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22 Aug 2022, 07:24
22 Aug 2022, 07:24
1
Carcass wrote:
A square picture frame has a side of \(10\sqrt{2}\) on its outer edge. The area of the picture enclosed by the frame is 50% of the entire area. What is the area of the picture?
A. 100
B. 40
C. 50
D. 25
E. 10
A. 100
B. 40
C. 50
D. 25
E. 10
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Given:
Area of square = side²
So, the total area = (10√2)² = (10√2)(10√2) = 200
GIVEN: The area of the picture enclosed by the frame is 50% of the entire area.
So, each region has area 100
Answer: A
Cheers,
Brent
Re: A square picture frame has a side of [m]10[square_root]2[/square_root]
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22 Aug 2022, 23:37
22 Aug 2022, 23:37
Area of square = side*side = 10root2 * 10root2 = 200
Area od pic = 1/2 * 200 = 100
Answer : A
Area od pic = 1/2 * 200 = 100
Answer : A
