# Rectangles Are Cool!

Geometry Level 5

In the figure above, $$ABCD$$ is a rectangle, $$PB= 10 \text{ cm}$$, $$AS = 8 \text{ cm}$$, $$QC=12 \text{ cm}, DR=8 \text{ cm}$$. The area of the triangle $$POQ$$ and triangle $$OSR$$ are both $$30\text{ cm}^2$$. And $$O$$ is the intersection point of the straight lines $$PR$$ and $$QS$$. Find the area of the rectangle $$ABCD$$ (in $$\text{m}^2$$).

×