Question

quadrilateral vwxy is a rectangle, vx = 11w + 12, and wy = 17w. what is wy?

Explanation:

Step1: Use the property of rectangle diagonals

In a rectangle, the diagonals are equal. So, \(VX = WY\).
Given \(VX=11w + 12\) and \(WY = 17w\), we set up the equation \(11w+12=17w\).

Step2: Solve the equation for \(w\)

Subtract \(11w\) from both sides:
\(11w+12-11w=17w - 11w\)
\(12 = 6w\)
Divide both sides by \(6\): \(\frac{12}{6}=\frac{6w}{6}\), so \(w = 2\).

Step3: Find the length of \(WY\)

Since \(WY=17w\) and \(w = 2\), substitute \(w\) into the formula: \(WY=17\times2\).

Answer:

\(34\)