Bianca Jeniz M.
asked 02/01/22geometry (9th grade math)
refer to square JKLM.
Given: JL = 4x − 8, MK = 2x + 2
g. What is m∠NLM?
h. What is NK?
i. What is the area of square JKLM?
1 Expert Answer
Mark M. answered 02/01/22
Mathematics Teacher - NCLB Highly Qualified
Assuming N is the intersection of MK and JL.
Diagonals of a square are mutually perpendiculat bisectors.
Diagonals of a square bisect corner angles.
This is sufficient to answer all questions.
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Rita R.
Hi Bianca, I need to see the picture of this square in order to help with g and h since you haven't identified where N is in the question. However you can figure out what x is because JL = MK. If you then solve for x you'll find that x=5. By doing this you can find the length of JL (and MK) which is 144. You do this by plugging x back into either of those equations. This will give you a length of 144 for your hypotenuse. Since we're dealing with a square we know then that 2a^2 = 144 so a^2 = 72 which would be the area of your square. You can reach out and we can discuss the answers to g and h with the additional information! Best Regards, Rita02/01/22