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The area of triangle KLM is equal to the area of rectangle
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06 Jun 2017, 06:29
06 Jun 2017, 06:29
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#GREpracticequestion The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM.jpg [ 7.21 KiB | Viewed 9772 times ]
The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM ?
A) \(\frac{3}{2}\)
B) 3
C) \(\frac{16}{5}\)
D) 5
E) 6
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The area of triangle KLM is equal to the area of rectangle
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06 Jun 2017, 16:14
06 Jun 2017, 16:14
Carcass wrote:
The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM ?
A) \(\frac{3}{2}\)
B) 3
C) \(\frac{16}{5}\)
D) 5
E) 6
The perimeter of ABCD is 16
Let x = length of side BC
This also means x = length of side AD
Also, we can see that CD has length 3
So, we get: x + x + 3 + 3 = 16
Simplify: 2x + 6 = 16
Solve: x = 5
So, side BC has length 5
So, the AREA of rectangle ABCD = (5)(3) = 15
The area of triangle KLM is equal to the area of rectangle ABCD.
We know the area of rectangle ABCD = 15
So, the area of triangle KLM = 15
Area of triangle = (base)(height)/2
Substitute to get: 15 = (side LM)(5)/2
Multiply both sides by 2 to get: 30 = (side LM)(5)
Divide both sides by 5 to get: 6 = side LM
Answer: E
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Re: The area of triangle KLM is equal to the area of rectangle
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30 Jun 2021, 12:25
30 Jun 2021, 12:25
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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