Question

true or false, if a rectangle and parallelogram have the same base and height then they have the same area

Answer 1

true

Explanation:

We can see why this is true by decomposing and rearranging the parallelograms into rectangles. Notice that the side lengths of each rectangle are the base and height of the parallelogram. Even though the two rectangles have different side lengths, the products of the side lengths are equal, so they have the same area!