Constructing a parallelogram with area equal to a given triangle, angle equal to a given angle and one sidelength given

In this exercise you are given a triangle \(\Delta PQR\), an angle \(\angle XYZ\) and a pair of points \(S\) and \(T\). Your task is to construct a parallelogram with area equal to the area of \(\Delta PQR\), one pair of opposite angles equal to \(\angle XYZ\) and one side equal to \(ST\).

Once you are done you can use the polygon tool to highlight the parallelogram and then use the area tool to check that the area is equal to that of the triangle \(\Delta PQR\). The previous construction and the parallel line tool will be useful, as well as Euclid Prop. I.43.

The diagram contains an example of a triangle \(\Delta ABC\) and an angle \(\angle DEF\) such that the orange parallelogram \(IJKL\) has area equal to that of \(\Delta ABC\) and \(\angle LIJ = \angle DEF\).

Hint. This exercise is explained in Euclid Book I, Proposition 44.