Calculate Trapezoid Area: 7-Unit Base with Heights 2 and 9

Question

What is the area of the trapezoid in the figure?

00:00 Calculate the area of the trapezoid

00:03 Let's use the formula for calculating the area of a trapezoid

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

00:18 Let's substitute appropriate values according to the given data and solve for the area

00:25 In this case, the height is side AD

00:45 And this is the solution to the problem

We use the formula: (base + base) multiplied by height divided by 2:

$S=\frac{(AB+DC)\times h}{2}$

Keep in mind that AD is the height of a trapezoid:

We insert the existing data into the formula:

$S=\frac{(2+9)\times7}{2}$

$S=\frac{11\times7}{2}=\frac{77}{2}=38.5$

$38.5$ cm².