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Fri May 01, 2020 2:17 am
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
20% (01:28) correct
80%
(01:47)
wrong
based on 129
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A circle is inscribed in a quadrilateral ABCD such a way that it touches all of the four sides. What is the perimeter of the quadrilateral?
(1) AB + BC = 10
(2) AB + CD = 12
Are You Up For the Challenge: 700 Level Questions
(1) AB + BC = 10
(2) AB + CD = 12
Are You Up For the Challenge: 700 Level Questions
Given a quadrilateral ABCD, a circle is inscribed in the quadrilateral in such a way that it touches all of the four sides. What is the perimeter of the quadrilateral?
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
Fri May 01, 2020 9:59 pm
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Two tangent segments are drawn to one circle from the same external point, then they are equal.
Perimeter of quadrilateral ABCD = a+b+b+c+c+d+d+a = 2(a+b+c+d) = 2(AB+CD) = 2(BC+AD)
Basically our question stem is whether we know AB+CD or BC+AD
Statement 2 gives us the value of one of the above.
B
Perimeter of quadrilateral ABCD = a+b+b+c+c+d+d+a = 2(a+b+c+d) = 2(AB+CD) = 2(BC+AD)
Basically our question stem is whether we know AB+CD or BC+AD
Statement 2 gives us the value of one of the above.
B
Bunuel
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Fri May 01, 2020 10:35 pm
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Bunuel
Properties at Use:
- Two tangents can be drawn to circle from one point
- Both tangents drawn to a particular circle from one particular point will have equal lengths.
- If all 4 sides of quadrilateral are tangents to a circle then AB + CD = BC + CA
- Two tangents can be drawn to circle from one point
- Both tangents drawn to a particular circle from one particular point will have equal lengths.
- If all 4 sides of quadrilateral are tangents to a circle then AB + CD = BC + CA
Answer: Option B
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