Question

1. in rectangle uvwx, xy = yv = 18.5 in. what is the length of \\( \overline { u w } \\)?

Explanation:

Step1: Recall the property of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So \(UY = YW\) and \(XY = YV\), and \(UW=XV\).

Step2: Calculate the length of \(XV\)

Since \(XY = YV=18.5\) in, then \(XV=XY + YV\). Substitute the values: \(XV=18.5+18.5 = 37\) in.

Step3: Find the length of \(UW\)

Because \(UW = XV\) (diagonals of a rectangle are equal), so \(UW = 37\) in.

Answer:

37 in