In this article, we will learn what area is, and understand how it is calculated for each shape, in the most practical and simple way there is.
Shall we start?
In this article, we will learn what area is, and understand how it is calculated for each shape, in the most practical and simple way there is.
Shall we start?
Area is the definition of the size of something. In mathematics, which is precisely what interests us now, it refers to the size of some figure.
In everyday life, you have surely heard about area in relation to the surface of an apartment, plot of land, etc.
In fact, when they ask what the surface area of your apartment is, they are asking about its size and, instead of answering with words like "big" or "small" we can calculate its area and express it with units of measure. In this way, we can compare different sizes.
Large areas such as apartments are usually measured in meters, therefore, the unit of measurement will be square meter.
On the other hand, smaller figures are generally measured in centimeters, that is, the unit of measurement for the area will be square centimeter.
Remember:
Units of measurement for the area in
Units of measurement for the area
ABCD is a rectangle.
Given in cm:
AB = 7
BC = 5
Calculate the area of the rectangle.
ABDC is a deltoid.
AB = BD
DC = CA
AD = 12 cm
CB = 16 cm
Calculate the area of the deltoid.
ACBD is a deltoid.
AD = AB
CA = CB
Given in cm:
AB = 6
CD = 10
Calculate the area of the deltoid.
Calculate the area of the following parallelogram:
Calculate the area of the following triangle:
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
ABDC is a deltoid.
AB = BD
DC = CA
AD = 12 cm
CB = 16 cm
Calculate the area of the deltoid.
First, let's recall the formula for the area of a rhombus:
(Diagonal 1 * Diagonal 2) divided by 2
Now we will substitute the known data into the formula, giving us the answer:
(12*16)/2
192/2=
96
96 cm²
ACBD is a deltoid.
AD = AB
CA = CB
Given in cm:
AB = 6
CD = 10
Calculate the area of the deltoid.
To solve the exercise, we first need to remember how to calculate the area of a rhombus:
(diagonal * diagonal) divided by 2
Let's plug in the data we have from the question
10*6=60
60/2=30
And that's the solution!
30
Calculate the area of the following parallelogram:
To solve the exercise, we need to remember the formula for the area of a parallelogram:
Side * Height perpendicular to the side
In the diagram, although it's not presented in the way we're familiar with, we are given the two essential pieces of information:
Side = 6
Height = 5
Let's now substitute these values into the formula and calculate to get the answer:
6 * 5 = 30
30 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:
Calculate the area of the parallelogram according to the data in the diagram.
Calculate the area of the right triangle below:
Calculate the area of the trapezoid.
Calculate the area of the triangle ABC using the data in the figure.
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
Calculate the area of the parallelogram according to the data in the diagram.
We know that ABCD is a parallelogram. According to the properties of parallelograms, each pair of opposite sides are equal and parallel.
Therefore:
We will calculate the area of the parallelogram using the formula of side multiplied by the height drawn from that side, so the area of the parallelogram is equal to:
70
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 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.
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
Calculate the area of the triangle below, if possible.
Complete the sentence:
To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.
Given that the diameter of the circle is 7 cm
What is the area?
Given the following rectangle:
Find the area of the rectangle.
Given the following rectangle:
Find the area of the rectangle.
Calculate the area of the triangle below, if possible.
The formula to calculate the area of a triangle is:
(side * height corresponding to the side) / 2
Note that in the triangle provided to us, we have the length of the side but not the height.
That is, we do not have enough data to perform the calculation.
Cannot be calculated
Complete the sentence:
To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.
To solve this problem, begin by identifying the elements involved in calculating the area of a right triangle. In a right triangle, the two sides that form the right angle are known as the legs. These legs act as the base and height of the triangle.
The formula for the area of a triangle is given by:
In the case of a right triangle, the base and height are the two legs. Therefore, the process of finding the area involves multiplying the lengths of the two legs together and then dividing the product by 2.
Based on this analysis, the correct way to complete the sentence in the problem is:
To find the area of a right triangle, one must multiply the two legs by each other and divide by 2.
the two legs
Given that the diameter of the circle is 7 cm
What is the area?
First we need the formula for the area of a circle:
In the question, we are given the diameter of the circle, but we still need the radius.
It is known that the radius is actually half of the diameter, therefore:
We substitute the value into the formula.
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:
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:
77