Given triangle $lko$ with sides $lk$ and $om$, for which value of $x$ does $lk=om$? Choose the correct value of $x$ from the options below.

• A. $x=8$
• B. $x=2.4$
• C. $x=2$
• D. $x=4.8$

Answer: (D)

Verified step by step guidance

1. Identify the expressions for the lengths of sides \( lk \) and \( om \) in terms of \( x \). These should be given or derivable from the problem's diagram or context.
2. Set the two expressions equal to each other since the problem states \( lk = om \). This gives an equation of the form \( \text{length of } lk = \text{length of } om \).
3. Solve the resulting equation for \( x \) by isolating \( x \) on one side. This may involve algebraic manipulation such as combining like terms, factoring, or dividing both sides by a coefficient.
4. Check the solution for \( x \) against the provided options to determine which value satisfies the equality \( lk = om \).
5. Verify the solution by substituting the found value of \( x \) back into the original expressions for \( lk \) and \( om \) to confirm they are equal.