In the figure, PQRS is a parallelogram. Let X be a point lying on PQ. Denote the point of intersection of PR and SX by Y. If the area of triangle PXY and the area of quadrilateral QRYX are 32 square centimeters and 58 square centimeters respectively, then the area of triangle RSY is? A. 40 square centimeters B. 50 square centimeters C.58 square centimeters D.72 square centimeters.
Can you teach me this question. Also, with the related knowledge of these questions for example same height and difficult width triangle / Similar triangles / properties of triangles and quadrilateral. At last, also can you give me a few exercises that help me to understand more. And give me a few more samples of exercises that I could do it for study.
The answer is B. 50 square centimeters---**Chart/Diagram Description:**
* **Type:** Geometric Figure.
* **Main Elements:**
* **Points:** The labeled points are P, Q, R, S, X, and Y. Points P, Q, R, and S form a quadrilateral. Point X is located on the line segment PQ. Point Y is the intersection point of the line segments PR and SX.
* **Lines:**
* Line segments form the sides of the quadrilateral: PQ, QR, RS, SP.
* Line segment PR is a diagonal of the quadrilateral, connecting P to R.
* Line segment SX connects S to X, where X is on PQ.
* The line segments PR and SX intersect at point Y.
* The line segment PQ is divided into two parts by X: PX and XQ.
* The line segment PR is divided into two parts by Y: PY and YR.
* The line segment SX is divided into two parts by Y: SY and YX.
* **Shapes:** The figure is a quadrilateral PQRS with two intersecting line segments PR and SX inside it.
**Other Relevant Text:**
The image contains only the geometric diagram and the labels for points. There is no question stem, options, explanations, or other text accompanying the diagram.