Compute the area of the trapezoid based on the given dimensions.

To determine the area of a trapezoid, the formula used is

[

\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h

]

where ( b_1 ) and ( b_2 ) are the lengths of the two parallel sides (bases) and ( h ) is the height of the trapezoid.

If the computed area of the trapezoid is 10 square feet, it implies that the values plugged into the formula resulted in that area. This suggests that the dimensions of the bases and height were chosen in such a way that the average of the two bases, when multiplied by the height and halved, yields exactly 10 square feet.

For example, if the bases were 4 feet and 6 feet and the height was 2 feet, the calculation would be:

[

\text{Area} = \frac{1}{2} \times (4 + 6) \times 2 = \frac{1}{2} \times 10 \times 2 = 10 \text{ square feet}

]

Thus, arriving at the area of 10 square feet indicates that