In order to calculate the area of a right-angled trapezoid, we will use the following formula:

In order to calculate the area of a right-angled trapezoid, we will use the following formula:
The formula for calculating the area of a right-angled trapezoid is the same as every trapezoid's area - the sum of the bases times the height divided by 2.
The leg connecting the 2 right angles is also the height of the trapezoid!
Calculate the area of the trapezoid.
Before we begin, let's recall some properties of a right-angled trapezoid:
Properties of a right-angled trapezoid
Let's observe this in an illustration:
In order to calculate the area of a right-angled trapezoid, we will use the following formula:
The area of a right-angled trapezoid equals the sum of the bases multiplied by the height divided by 2.
Calculate the area of the trapezoid.
The trapezoid ABCD is shown below.
AB = 5 cm
DC = 9 cm
Height (h) = 7 cm
Calculate the area of the trapezoid.
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
Exercise:
Given the following trapezoid, calculate its area.
Given:
angle
angle
Solution:
We are told that there are 2 right angles in the trapezoid, therefore we are able to determine that it is a right-angled trapezoid.
In order to calculate the area of the trapezoid, we need to add the two bases, multiply by the height and divide the result by 2.
We know that in a right-angled trapezoid, the height is also the side connecting the two right angles, meaning .
Therefore:
We'll add the given bases and multiply by the height and divide this by . We obtain the following:
The area of the trapezoid is cm².
Additional Exercise
Here is the following right-angled trapezoid:
Given that:
Angle
Angle
Angle
What is the area of the trapezoid?
Solution:
To begin with, we need to look at all the given information and identify what type of trapezoid we are dealing with.
We are given one angle equal to degrees and other angles that together equal degrees.
We know that the sum of angles in a trapezoid equals degrees, therefore angle must equal degrees.
We can observe that in this trapezoid there are angles that equal degrees each, therefore it is a right-angled trapezoid.
To calculate the area of a right-angled trapezoid, we need to know the lengths of the bases and the height.
The height in a right-angled trapezoid is also the side connecting the two right angles - meaning side
The two bases are: and
According to the given information: and
Therefore
Let's calculate using the right-angled trapezoid area formula and we should obtain the following:
The area of the trapezoid is cm².
Additional Exercise:
Given that:
The area of the trapezoid is cm²
Angle
Angle
Angle
We know that the sum of bases is .
Determine the length of side and the size of side .
Solution:
We can confirm straightaway that this is a right-angled trapezoid given that it has angles equal to .
We are given the area of the trapezoid and we need to find the height -
If we recall the formula for finding the area of a right-angled trapezoid and substitute the sum of the bases and the given area of the trapezoid, we obtain the following:
We can clearly see that must be in order to obtain a true statement, therefore the height of the trapezoid equals .
The size of side needs to be completed to .
It is known that angle equals and therefore equals .
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
What is the area of the trapezoid in the diagram?
The trapezoid ABCD is shown below.
AB = 2.5 cm
DC = 4 cm
Height (h) = 6 cm
Calculate the area of the trapezoid.
First, let's remind ourselves of the formula for the area of a trapezoid:
We substitute the given values into the formula:
(2.5+4)*6 =
6.5*6=
39/2 =
19.5
The trapezoid ABCD is shown below.
Base AB = 6 cm
Base DC = 10 cm
Height (h) = 5 cm
Calculate the area of the trapezoid.
First, we need to remind ourselves of how to work out the area of a trapezoid:
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
40 cm²
Given the trapezoid:
What is the area?
Formula for the area of a trapezoid:
We substitute the data into the formula and solve:
52.5
What is the area of the trapezoid in the figure?
We use the following formula to calculate the area of a trapezoid: (base+base) multiplied by the height divided by 2:
cm².
Calculate the area of the trapezoid.
We use the formula (base+base) multiplied by the height and divided by 2.
Note that we are only provided with one base and it is not possible to determine the size of the other base.
Therefore, the area cannot be calculated.
Cannot be calculated.