Calculate Trapezoid Area: Finding Space Between 9.6 and 13 Units

To solve this problem for the area of the trapezoid, we'll follow these steps:

• Identify the given dimensions: two parallel sides (bases) and the height.
• Apply the formula for the area of a trapezoid.
• Compute the necessary calculations.

Let's proceed with the calculations:
Step 1: The lengths of the two bases are $\text{Base}_1 = 9.6$ and $\text{Base}_2 = 13$.
Step 2: The height between these bases is $5.8$ units.
Step 3: Use the formula for the area of a trapezoid:
$\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}$ Plug in the values:
$\text{Area} = \frac{1}{2} \times (9.6 + 13) \times 5.8$ Calculate the sum of the bases:
$9.6 + 13 = 22.6$ Now perform the multiplication and division:
$\text{Area} = \frac{1}{2} \times 22.6 \times 5.8$ $\text{Area} = 11.3 \times 5.8$ $\text{Area} = 65.54$

Therefore, the area of the trapezoid is $65.54$ square units.