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Triangle ABC and rectangle JKLM have equal areas. What is th
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14 Sep 2018, 16:22
14 Sep 2018, 16:22
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89% (01:00) correct
10% (01:04) wrong based on 39 sessions
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Triangle ABC and rectangle JKLM have equal areas. What is the perimeter of rectangle JKLM?
Show: :: OA
30
Re: Triangle ABC and rectangle JKLM have equal areas. What is th
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25 Jan 2019, 22:10
25 Jan 2019, 22:10
Expert Reply
sandy wrote:
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Triangle ABC and rectangle JKLM have equal areas. What is the perimeter of rectangle JKLM?
Show: :: OA
30
So we are looking for the side Jm or KL...
Let us take the triangle ABC with sides AB:AC:BC = AB:12:15..
two ways to find AB..
(a) AB = \(\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9\)
(b) ratio of AB:12:15... now 12:15 is 4:5 with the hypotenuse as 5, so one of the most frequently used triplets in case of right angled triangle is 3:4:5.
so 3:4:5 = AB:12:15 = 9:12:15, so AB = 9
Area of ABC = \(\frac{1}{2}*9*12=54\)
Area of rectangle = 6*JM=area of ABC = 54... JM = \(\frac{54}{6}=9\)
Thus perimeter of rectangle is 2(6+9)=30
gmatclubot
Re: Triangle ABC and rectangle JKLM have equal areas. What is th [#permalink]
25 Jan 2019, 22:10
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