Question

Examine rectangle JKLM, shown below.

If JN = x + 3 and JL = 3x + 1, determine which of the following values is correct

Answer 1

NM=8 I tried it and got it right

Explanation:

Answer 2

• NM = 8

Explanation:

Given rectangle JKLM

• JN = x + 3 and JL = 3x + 1

JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.

Substitute and solve for x:

• x + 3 = 1/2(3x + 1)
• 2x + 6 = 3x + 1
• 3x - 2x = 6 - 1
• x = 5

Find JN

• JN = 5 + 3 = 8

Looking at the options, we see that

• NM = JN = 8

Correct option is A