Are triangles RST and XYZ similar? How do you know?

This is geometry. could anyone ? i can't fail this class. my grade is quite low already.

Scenario: a rectangular plot of ground is 5 meters longer than it is wide. its area is 20,000 square meters. question: what equation will you find the dimensions? note: let w represent the width. options: w(w+5)=20,000 w^2=20,000+5 (w(w+5))/2=20,000 w+2(w+5)=20,000

Find the measure of the angle indicated in bold