Comparing Areas of a Trapezoid and a Rectangle

Consider a trapezoid with bases measuring 10 units and 6 units, and a height of 4 units. The area of a trapezoid can be calculated using the formula:

$$A = \f\frac{1}{2} (b_1 + b_2) h$$

Where:

• $$b_1$$ is the length of the first base
• $$b_2$$ is the length of the second base
• $$h$$ is the height

Now, consider a rectangle with a length of 8 units and a width of 4 units. The area of the rectangle is given by the formula:

$$A = l \times w$$

Where:

• $$l$$ is the length of the rectangle
• $$w$$ is the width of the rectangle

Which shape has a greater area?