Calculating Trapezoid Area: Finding the Area of ABCD with 5 and 11 Unit Bases

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the formula for the area of a trapezoid.
• Step 3: Perform the calculations.

Now, let's work through each step:
Step 1: We identify from the problem that $AB = 5$, $CD = 11$, and the height $h = 4$.
Step 2: The formula for the area of a trapezoid is:
$\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}$ Here, $\text{Base}_1 = 5$ and $\text{Base}_2 = 11$.
Step 3: Substitute the values into the formula:
$\text{Area} = \frac{1}{2} \times (5 + 11) \times 4 = \frac{1}{2} \times 16 \times 4$ $= \frac{1}{2} \times 64 = 32$

Therefore, the solution to the problem is $\text{Area} = 32$.