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Omni-MATH / What is the perimeter of △UVZ if UVWX is a rectangle that lies flat on a horizontal floor, a vertical semi-circular wall with diameter XW is constructed, point Z is the highest poi…

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problem

What is the perimeter of △UVZ\triangle UVZ if UVWXUVWX is a rectangle that lies flat on a horizontal floor, a vertical semi-circular wall with diameter XWXW is constructed, point ZZ is the highest point on this wall, and UV=20UV=20 and VW=30VW=30?
Plain-text mathematical notation (without MathML)
What is the perimeter of △UVZ if UVWX is a rectangle that lies flat on a horizontal floor, a vertical semi-circular wall with diameter XW is constructed, point Z is the highest point on this wall, and UV=20 and VW=30?
Original LaTeX notation
What is the perimeter of $\triangle UVZ$ if $UVWX$ is a rectangle that lies flat on a horizontal floor, a vertical semi-circular wall with diameter $XW$ is constructed, point $Z$ is the highest point on this wall, and $UV=20$ and $VW=30$?

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