Geometry
# Calculating Areas

$\text{(base)}\times\text{(height)},$ is the area of a parallelogram also $\text{(base)}\times\text{(height)}?$

A parallelogram is converted to a rectangle by cutting and rearranging pieces of the shape, as shown above. Given that the area of a rectangle is$\frac{1}{2}(h)(x + y)$

A trapezoid can be cut into two pieces and arranged into a parallelogram as shown. The two figures have the same area. Does this expression represent the area?