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13 Sep 2022, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:19) correct
29%
(01:21)
wrong
based on 68
sessions
History
Date
Time
Result
Not Attempted Yet
A frame of uniform 2-inch width surrounds a square picture of area 25. What is the area of the frame?
A. 40
B. 50
C. 56
D. 72
E. 81
A. 40
B. 50
C. 56
D. 72
E. 81
13 Sep 2022, 04:43
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Area of square picture = 25
Hence length of a side of the picture = 5
Since area of a square = side * side
Area of the frame = (area of the enclosed square space by the outer edges of the frame) - (area of square space enclosed by the inner edges of the frame)
\(= (5+2+2)^2 - 25\)
\(= 9^2 - 5^2\)
\(= 81-25\)
\(= 56\)
Where 2 is width of the frame surrounding the square picture.
therefore the answer is Option C
Hence length of a side of the picture = 5
Since area of a square = side * side
Area of the frame = (area of the enclosed square space by the outer edges of the frame) - (area of square space enclosed by the inner edges of the frame)
\(= (5+2+2)^2 - 25\)
\(= 9^2 - 5^2\)
\(= 81-25\)
\(= 56\)
Where 2 is width of the frame surrounding the square picture.
therefore the answer is Option C
Attachments
Screenshot 2022-09-13 170606.jpg [ 21.89 KiB | Viewed 1358 times ]
13 Sep 2022, 09:16
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Bunuel
Square pitch side = √25 = 5
Frame Area = External square - Internal Square
=> FA = (5+4)^2 - 5^2
=9^2 - 5^2
= 14 * 4
= 56
Option C
