In fact, a polygon is any geometric shape made up of sides. In other words, under the umbrella of polygons fall the square, rectangle, parallelogram, trapezoid, and more.
In fact, a polygon is any geometric shape made up of sides. In other words, under the umbrella of polygons fall the square, rectangle, parallelogram, trapezoid, and more.
For example, a triangle has 3 sides, every quadrilateral has 4 sides, and so on.
We have already learned to calculate the areas of standard polygons. There are also non-standard polygons, for which there is no specific formula. However, their area of complex shapes can be calculated using two methods:
Let's demonstrate this using a simple exercise:
Here is a drawing of a polygon.
We need to calculate its area. From the start, we can see that this is not a standard polygon, so we will use the first method to calculate its area. We will divide the polygon as shown in the drawing, and we will get two rectangles.
According to the data shown in the drawing, in the rectangle on the right side we get side lengths of 3 and 6, therefore the area of the rectangle will be 18 (multiplication of the two values). In the rectangle on the left side we get side lengths of 4 and 7, therefore the area of the rectangle will be 28 (multiplication of the two values). Thus, the total area of the polygon will be the sum of the two areas we calculated separately, meaning, 18+28=46.
Calculate the area of the right triangle below:
Calculate the area of the triangle ABC using the data in the figure.
The trapezoid ABCD is shown below.
AB = 2.5 cm
DC = 4 cm
Height (h) = 6 cm
Calculate the area of the trapezoid.
The trapezoid ABCD is shown below.
Base AB = 6 cm
Base DC = 10 cm
Height (h) = 5 cm
Calculate the area of the trapezoid.
What is the area of the triangle in the drawing?
Calculate the area of the right triangle below:
Due to the fact that AB is perpendicular to BC and forms a 90-degree angle,
it can be argued that AB is the height of the triangle.
Hence we can calculate the area as follows:
24 cm²
Calculate the area of the triangle ABC using the data in the figure.
First, let's remember the formula for the area of a triangle:
(the side * the height that descends to the side) /2
In the question, we have three pieces of data, but one of them is redundant!
We only have one height, the line that forms a 90-degree angle - AD,
The side to which the height descends is CB,
Therefore, we can use them in our calculation:
36 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
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
What is the area of the triangle in the drawing?
First, we will identify the data points we need to be able to find the area of the triangle.
the formula for the area of the triangle: height*opposite side / 2
Since it is a right triangle, we know that the straight sides are actually also the heights between each other, that is, the side that measures 5 and the side that measures 7.
We multiply the legs and divide by 2
17.5
Given the trapezoid:
What is the area?
Look at rectangle ABCD below.
Side AB is 10 cm long and side BC is 2.5 cm long.
What is the area of the rectangle?
Given the following rectangle:
Find the area of the rectangle.
Given the following rectangle:
Find the area of the rectangle.
Given the following rectangle:
Find the area of the rectangle.
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
Look at rectangle ABCD below.
Side AB is 10 cm long and side BC is 2.5 cm long.
What is the area of the rectangle?
Let's begin by multiplying side AB by side BC
If we insert the known data into the above equation we should obtain the following:
Thus the area of rectangle ABCD equals 25.
25 cm²
Given the following rectangle:
Find the area of the rectangle.
Let's calculate the area of the rectangle by multiplying the length by the width:
77
Given the following rectangle:
Find the area of the rectangle.
Let's calculate the area of the rectangle by multiplying the length by the width:
10
Given the following rectangle:
Find the area of the rectangle.
Let's calculate the area of the rectangle by multiplying the length by the width:
32
Look at the rectangle ABCD below.
Given in cm:
AB = 10
BC = 5
Calculate the area of the rectangle.
ABCD is a rectangle.
Given in cm:
AB = 7
BC = 5
Calculate the area of the rectangle.
Look at the rectangle ABCD below.
Side AB is 6 cm long and side BC is 4 cm long.
What is the area of the rectangle?
Calculate the area of the following triangle:
Calculate the area of the following triangle:
Look at the rectangle ABCD below.
Given in cm:
AB = 10
BC = 5
Calculate the area of the rectangle.
Let's calculate the area of the rectangle by multiplying the length by the width:
50
ABCD is a rectangle.
Given in cm:
AB = 7
BC = 5
Calculate the area of the rectangle.
Let's calculate the area of the rectangle by multiplying the length by the width:
35
Look at the rectangle ABCD below.
Side AB is 6 cm long and side BC is 4 cm long.
What is the area of the rectangle?
Remember that the formula for the area of a rectangle is width times height
We are given that the width of the rectangle is 6
and that the length of the rectangle is 4
Therefore we calculate:
6*4=24
24 cm²
Calculate the area of the following triangle:
The formula for calculating the area of a triangle is:
(the side * the height from the side down to the base) /2
That is:
We insert the existing data as shown below:
10
Calculate the area of the following triangle:
The formula for the area of a triangle is
Let's insert the available data into the formula:
(7*6)/2 =
42/2 =
21
21