Calculate Trapezoid Area: Finding Area of ABCD with Bases 5 and 8

Question

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

00:00 Calculate the area of the trapezoid

00:03 Let's use the formula to calculate the trapezoid area

00:07 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2

00:14 Let's substitute appropriate values and solve to find the area

00:32 And this is the solution to the question

To solve this problem, we follow these steps:

Now, let's work through these steps:

Step 1: We know from the problem that trapezoid ABCD has bases $AB = 5$ and $CD = 8$ , with a height of $AD = 4$ .

Step 2: The formula for the area of a trapezoid is:
$A = \frac{1}{2} \times (b_1 + b_2) \times h$

Step 3: Plugging in the values:
$A = \frac{1}{2} \times (5 + 8) \times 4 = \frac{1}{2} \times 13 \times 4 = \frac{52}{2} = 26$

Therefore, the area of the trapezoid ABCD is $26$ .