Two rectangles are congruent if they have the same length and width.
Since both rectangles are congruent, we can write and solve the following equation.
[tex]\begin{gathered} \text{ Length rectangle A }=\text{ Length rectangle B} \\ 7x+3=5x-4 \\ \text{ Subtract from both sides} \\ 7x+3-3=5x-4-3 \\ 7x=5x-7 \\ \text{ Subtract 5x from both sides} \\ 7x-5x=5x-7-5x \\ 2x=-7 \\ \text{ Divide by 2 from both sides} \\ \frac{2x}{2}=-\frac{7}{2} \\ x=-\frac{7}{2} \end{gathered}[/tex]AnswerThe value of x is -7/2.
