Area of a Trapezoid: Applying the formula

Question 1

What is the area of the trapezoid in the figure?

Question 2

The trapezoid ABCD is shown below. Given in cm:

Base AB = 6

Base DC = 10

Height (h) = 5

Calculate the area of the trapezoid.

Question 3

The trapezoid ABCD is shown below.

AB = 2.5 cm

DC = 4 cm

Height (h) = 6 cm

Calculate the area of the trapezoid.

Question 4

Given the trapezoid:

What is the area?

Question 5

What is the area of the trapezoid in the figure?

Examples with solutions for Area of a Trapezoid: Applying the formula

Exercise #1

What is the area of the trapezoid in the figure?

Video Solution

Step-by-Step Solution

We use the following formula to calculate the area of a trapezoid: (base+base) multiplied by the height divided by 2:

$\frac{(AB+DC)\times BE}{2}$

$\frac{(7+15)\times2}{2}=\frac{22\times2}{2}=\frac{44}{2}=22$

Answer

$22$ cm².

Exercise #2

The trapezoid ABCD is shown below. Given in cm:

Base AB = 6

Base DC = 10

Height (h) = 5

Calculate the area of the trapezoid.

Video Solution

Step-by-Step Solution

Let's recall that the area of a trapezoid is:

Formula for calculating trapezoid area

Now let's substitute the given data into the formula:

(10+6)*5 =
2

Let's start with the upper part of the equation:

16*5 = 80

80/2=40

Answer

40 cm²

Exercise #3

The trapezoid ABCD is shown below.

AB = 2.5 cm

DC = 4 cm

Height (h) = 6 cm

Calculate the area of the trapezoid.

Video Solution

Step-by-Step Solution

First, let's remind ourselves of the formula for the area of a trapezoid:

$A=\frac{\left(Base\text{ }+\text{ Base}\right)\text{ h}}{2}$

We substitute the given values into the formula:

(2.5+4)*6 =
6.5*6=
39/2 =
19.5

Answer

$19\frac{1}{2}$

Exercise #4

Given the trapezoid:

What is the area?

Video Solution

Step-by-Step Solution

Formula for the area of a trapezoid:

$\frac{(base+base)}{2}\times altura$

We substitute the data into the formula and solve:

$\frac{9+12}{2}\times5=\frac{21}{2}\times5=\frac{105}{2}=52.5$

Answer

52.5

Exercise #5

What is the area of the trapezoid in the figure?

Video Solution

Step-by-Step Solution

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:

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

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

Answer

$38.5$ cm².

Question 1

Given the following trapezoid:

Find the area of the trapezoid ABCD.

Question 2

Calculate the area of the trapezoid.

Question 3

What is the area of the trapezoid ABCD?

Question 4

The trapezoid ABCD is shown below.

The height of ABCD is 6 cm.

The base BC is equal to 4 cm.

The base AD is equal to 8 cm.

Calculate the area of trapezoid ABCD.

Question 5

What is the area of the trapezoid in the diagram below?

Exercise #6

Given the following trapezoid:

Find the area of the trapezoid ABCD.

Video Solution

Step-by-Step Solution

The area of the trapezoid will be:

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

We replace the known data in the formula:

$\frac{(5+7)}{2}\times\frac{8}{3}=$

$\frac{12\times8}{6}=$

$\frac{96}{6}=16$

Answer

Exercise #7

Calculate the area of the trapezoid.

Video Solution

Answer

19 1/2

Exercise #8

What is the area of the trapezoid ABCD?

Video Solution

Answer

52.5

Exercise #9

The trapezoid ABCD is shown below.

The height of ABCD is 6 cm.

The base BC is equal to 4 cm.

The base AD is equal to 8 cm.

Calculate the area of trapezoid ABCD.

Video Solution

Answer

Exercise #10

What is the area of the trapezoid in the diagram below?

Video Solution

Answer

$16.5$ cm²

Question 1

What is the area of the trapezoid in the diagram?

Question 2

What is the area of the trapezoid in the figure?

Question 3

What is the area of the trapezoid in the figure?

Question 4

The trapezoid ABCD is shown below.

AB = 5 cm

DC = 9 cm

Height (h) = 7 cm

Calculate the area of the trapezoid.

Question 5

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Exercise #11

What is the area of the trapezoid in the diagram?

Video Solution

Answer

$52.5$ cm²

Exercise #12

What is the area of the trapezoid in the figure?

Video Solution

Answer

$36$ cm².

Exercise #13

What is the area of the trapezoid in the figure?

Video Solution

Answer

$33$ cm².

Exercise #14

The trapezoid ABCD is shown below.

AB = 5 cm

DC = 9 cm

Height (h) = 7 cm

Calculate the area of the trapezoid.

Video Solution

Answer

49 cm

Exercise #15

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Video Solution

Answer

Question 1

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Question 2

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Question 3

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Question 4

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Question 5

Calculate the area of the trapezoid:

Exercise #16

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Video Solution

Answer

Exercise #17

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Video Solution

Answer

Exercise #18

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Video Solution

Answer

Exercise #19

Given the following trapezoid:

Calculate the area of the trapezoid ABCD.

Video Solution

Answer

Exercise #20

Calculate the area of the trapezoid:

Video Solution

Answer

38 3/4