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27 Mar 2016, 01:42
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D
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Difficulty:
25%
(medium)
Question Stats:
77% (01:41) correct
23%
(01:54)
wrong
based on 124
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Attachment:
circle+rectangle.jpg [ 4.95 KiB | Viewed 3233 times ]
A circle and a rectangle are there shown as above figure. If the area of the circle is 100π, what is the perimeter of the rectangle?
1) The one side length of the rectangle except the radius is 20
2) The area shaded is 200-25π
* A solution will be posted in two days.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
27 Mar 2016, 04:04
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Area of the circle = 100*pi --> R = 10 = Width
Perimeter of rectangle = 2(Length + Width) --> We have to find the Length.
St1: One side length = 20 --> We know that Width = 10. So the given side is the Length of the rectange. Perimeter can be found out. Sufficient
St2: Area of shaded region = 200 - 25*pi
Area of unshaded region in the rectangle = (1/4)*100*pi = 25*pi
Area of rectangle = 200 - 25pi + 25pi = 200
Length * Width = 200
Length = 200/10 = 20.
Sufficient.
Answer: D
Perimeter of rectangle = 2(Length + Width) --> We have to find the Length.
St1: One side length = 20 --> We know that Width = 10. So the given side is the Length of the rectange. Perimeter can be found out. Sufficient
St2: Area of shaded region = 200 - 25*pi
Area of unshaded region in the rectangle = (1/4)*100*pi = 25*pi
Area of rectangle = 200 - 25pi + 25pi = 200
Length * Width = 200
Length = 200/10 = 20.
Sufficient.
Answer: D
28 Mar 2016, 22:38
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
A circle and a rectangle are there shown as above figure. If the area of the circle is 100π, what is the perimeter of the rectangle?
1) The one side length of the rectangle except the radius is 20
2) The area shaded is 200-25π
perimeter.jpg [ 3.89 KiB | Viewed 3055 times ]
As above the picture, suppose one side of the rectangle is a, which makes 1 variable(a). In order to match with the number of equations, you need 1 equation.
For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
1) a=10 unique –> unique and sufficient.
2) a=10 unique -> unique and sufficient.
Thus, the answer is D.
A circle and a rectangle are there shown as above figure. If the area of the circle is 100π, what is the perimeter of the rectangle?
1) The one side length of the rectangle except the radius is 20
2) The area shaded is 200-25π
Attachment:
perimeter.jpg [ 3.89 KiB | Viewed 3055 times ]
For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
1) a=10 unique –> unique and sufficient.
2) a=10 unique -> unique and sufficient.
Thus, the answer is D.
