Two parallelograms have pairs of sides that are 3 feet long and 2 feet long. One of the parallelograms is a rectangle and the other is not. Which has a bigger area, and why?

Assistance needed.

The rectangle

To find out which parallelogram has a bigger area, we need to calculate the areas of both parallelograms. The formula for the area of a parallelogram is base multiplied by height.

Let's start with the rectangle. Since all the angles of a rectangle are 90 degrees, we know that the opposite sides are equal in length. In this case, the opposite sides are 3 feet and 2 feet. We can consider the longer side (3 feet) as the base and the shorter side (2 feet) as the height. Therefore, the area of the rectangle is 3 feet multiplied by 2 feet, which equals 6 square feet.

Now, let's move on to the non-rectangle parallelogram. The base and height of a parallelogram can be any pair of its sides. In this case, we can choose the 2-feet side as the base and the 3-feet side as the height. Therefore, the area of the non-rectangle parallelogram is 2 feet multiplied by 3 feet, which also equals 6 square feet.

As we can see, the areas of both parallelograms are the same; they are both 6 square feet. Therefore, neither parallelogram has a bigger area than the other.