# Area after folding

Geometry Level 4

In the figure, $$ABCD$$ is a parallelogram with the height of $$x$$ cm. It is known that $$AB$$ is 6 cm longer than the height and $$AD$$ is 3 cm longer than 4 times of the height.

$$AB$$ and $$CD$$ are then folded along $$AP$$ and $$QC$$ respectively to form $$AB'$$ and $$CD'$$ respectively. Similarly, $$BP$$ and $$QD$$ are folded along $$AP$$ and $$QC$$ respectively to form $$PB'$$ and $$QD'$$.

It is known that $$AB'CD'$$ is a rhombus, find the area of $$AB'CD'$$.

Note: The figures are not drawn to scale.

×

Problem Loading...

Note Loading...

Set Loading...