Question

Find the values of the variables. Then find the side lengths. square LMNO X + 7 M 3x + 1 N

Answer 1

We have the following:

A square has equal sides, therefore we make the following equality

`\begin{gathered} x+7=3x+1 \\ 3x-x=7-1 \\ 2x=6 \\ x=3 \end{gathered}`

now, replacing:

`\begin{gathered} LM=3+7=10 \\ MN=3\cdot3+1=9+1=10 \end{gathered}`

Therefore, the answer is option b