The trapezoid is considered one of the most intimidating shapes for students, therefore we have decided to provide a summary of the general idea behind the trapezoid and explain its properties to them and introduce some types of trapezoids.
Master trapezoid properties, area formulas, and angle calculations with step-by-step practice problems designed for ninth grade students learning quadrilaterals.
The trapezoid is considered one of the most intimidating shapes for students, therefore we have decided to provide a summary of the general idea behind the trapezoid and explain its properties to them and introduce some types of trapezoids.
A trapezoid is a quadrilateral based on 4 sides like any other,
but special in that it will always have two parallel sides also called bases, which we can call the larger base and the smaller base
and it will also have two opposite sides also called legs.
Do isosceles trapezoids have two pairs of parallel sides?
Given the trapezoid:
What is the area?
Formula for the area of a trapezoid:
We substitute the data into the formula and solve:
Answer:
52.5
Look at the trapezoid in the diagram.
What is its perimeter?
In order to calculate the perimeter of the trapezoid we must add together the measurements of all of its sides:
7+10+7+12 =
36
And that's the solution!
Answer:
36
Given the trapezoid:
What is its perimeter?
The problem requires calculating the perimeter of the trapezoid by summing the lengths of its sides. Based on the given trapezoid diagram, the side lengths are clearly marked as follows:
According to the formula for the perimeter of a trapezoid:
Substituting the respective values:
Calculating the sum, we find:
Thus, the perimeter of the trapezoid is .
Answer:
32
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
Answer:
40 cm²
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
Answer: