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28 Mar 2020, 19:38
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GMATBusters’ Quant Quiz Question -6
In the diagram above, triangle CDE is inscribed in square ABCD. If the area of the triangle is 50, what is the perimeter of the square?
A. 20
B. 32
C. 40
D. 48
E. 50
Attachment:
gc1.JPG [ 16.26 KiB | Viewed 2010 times ]
shameekv1989
28 Mar 2020, 19:51
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Area of triangle = \frac{1}{2}*CD*AC = 50 => CD*AC = 100
Since CD = AC (as they are sides of a square)
CD = AC = 10
Therefore Perimeter = 4*CD = 40 - Answer - C
Since CD = AC (as they are sides of a square)
CD = AC = 10
Therefore Perimeter = 4*CD = 40 - Answer - C
28 Mar 2020, 22:19
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In the diagram above, triangle CDE is inscribed in square ABCD. If the area of the triangle is 50, what is the perimeter of the square?
Area of triangle CDE = 50,
1/2 * CD * EO = 50 (if we assume point O, which is perpendicular, on CD)
So, CD * EO = 100
CD = 10 and EO = 10 as EO is length of square.
So, length of square = 10 each. So perimeter of square = 40.
Ans. C
Area of triangle CDE = 50,
1/2 * CD * EO = 50 (if we assume point O, which is perpendicular, on CD)
So, CD * EO = 100
CD = 10 and EO = 10 as EO is length of square.
So, length of square = 10 each. So perimeter of square = 40.
Ans. C
