Question

given rectangle uvwx below. if ( wy = 16 ), find ( vx ).

Explanation:

Step1: Recall rectangle diagonals property

In a rectangle, the diagonals are equal in length and bisect each other. So, the diagonals \(VX\) and \(WU\) bisect each other at point \(Y\). This means \(WY = YU\) and \(VY = YX\), and also \(VX = WU\).

Step2: Determine length of \(VX\)

Given that \(WY = 16\), since the diagonals bisect each other, \(WU=WY + YU\). But as \(WY = YU\) (because diagonals bisect each other), \(WU = 16+16=32\). And since \(VX = WU\) (diagonals of a rectangle are equal), \(VX = 32\).

Answer:

\(32\)