jilliane draws parallelogram WXYZ. If WZ=4s+25 and XY=10s-11, what is the value of s?

1 answer

In a parallelogram, opposite sides are equal in length. Given that \( WZ \) is a side of the parallelogram and \( XY \) is its opposite side, we can set the equations for these sides equal to each other:

\[ WZ = XY \]

Substituting the expressions for \( WZ \) and \( XY \):

\[ 4s + 25 = 10s - 11 \]

To solve for \( s \), we can first rearrange the equation to isolate terms containing \( s \) on one side. We will move \( 4s \) to the right side and \( -11 \) to the left side:

\[ 25 + 11 = 10s - 4s \]

Combining the constants and the \( s \) terms gives us:

\[ 36 = 6s \]

Next, we divide both sides by 6 to find \( s \):

\[ s = \frac{36}{6} = 6 \]

Therefore, the value of \( s \) is:

\[ \boxed{6} \]