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given rectangle uvwx below. if wy = 16, find vx. answer attempt 1 out o…

Question

given rectangle uvwx below. if wy = 16, find vx.
answer
attempt 1 out of 6
vx = submit answer

Explanation:

Step1: Recall the property of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So \( WY=\frac{1}{2}WX\) and \( VY = \frac{1}{2}VX\), and \( WX = VX\) (diagonals of rectangle \(UVWX\)).

Step2: Calculate the length of the diagonal

Since \( WY = 16\), and \( WX=2\times WY\) (because \(Y\) is the mid - point of \(WX\)). Also, \(VX = WX\) (diagonals of a rectangle are equal). So \(VX=2\times16\).

Answer:

\(32\)