Given:
• Length of rectangle A = 7x + 11
,• Length of rectangle B = 15x - 9
Let's find the value of x given that the two rectangles are congruent.
Since the two rectangles are congruent, the lengths of the rectangles will be equal.
Thus, we have:
Length of rectangle A = Length of rectangle B.
7x + 11 = 15x - 9
Let's solve for x using the given equation.
Subtract 15x from both sides:
7x - 15x + 11 = 15x - 15x - 9
-8x + 11 = -9
Subtract 11 from both sides:
-8x + 11 - 11 = -9 - 11
-8x = -20
Divide both sides by -8:
[tex]\begin{gathered} \frac{-8x}{-8}=\frac{-20}{-8} \\ \\ x=2.5 \end{gathered}[/tex]Therefore, the value of x is 2.5
ANSWER:
x = 2.5
