[GMAT math practice question]
The figure below shows rectangle ABCD with AB = 6 and AO = 5. What is the circumference of ABCD?
A. 26
B. 27
C. 28
D. 29
E. 30
The figure below shows rectangle ABCD with AB = 6 and AO = 5. What is the circumference of ABCD?
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Re: The figure below shows rectangle ABCD with AB = 6 and AO = 5. What is the circumference of ABCD?
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We have AC = 2AO = 2*5 = 10.
Since we have AC^2 = AB^2 + BC^2, we have BC^2 = AC^2 – AB^2 = 10^2 – 6^2 = 100 – 36 = 64 or BC = 8.
Thus, the perimeter of ABCD is 2(6+8) = 2*14 = 28.
Therefore, C is the answer.
Answer: C
We have AC = 2AO = 2*5 = 10.
Since we have AC^2 = AB^2 + BC^2, we have BC^2 = AC^2 – AB^2 = 10^2 – 6^2 = 100 – 36 = 64 or BC = 8.
Thus, the perimeter of ABCD is 2(6+8) = 2*14 = 28.
Therefore, C is the answer.
Answer: C
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