Calculate the area of a rectangle based on the formula for calculating its area, which tells us that, if we want to calculate the area of a rectangle, we have to multiply its base by its height. In the case of the squareBoth values are equal, so it would be enough to square the value of one of its sides, but in the rectangle there are differences between one and the other.
How to calculate the area of a rectangle
The rectangle is one of the easiest regular figures to calculate its area. We simply have to multiply its base by its height and that's it. This is expressed mathematically by the following formula:
Area of rectangle = base x height
For example, if we are given a rectangle whose base measures 6 centimeters and its height measures 3 centimeters, what is its area? To calculate it, we apply the above formula and we have that:
Area = 6 cm x 3 cm = 18 cm2
Calculate the diagonal of a rectangle
If what we want is calculate how long the diagonal of a rectangle isthen we have to resort to the Pythagorean Theorem.
If we look at the figure above, we can see that that triangle is half of a rectangle to which we have made a cut along its diagonal. Thanks to this, we can calculate the length of the diagonal easily by applying the following formula:
When we solve the operation, we already have the value of the diagonal.
Calculate the area of an irregular rectangle
If we are asked to find the area of an irregular rectangle then we will not be able to apply the formula we have seen. In this case, what we have to do is to divide the figure into different triangles and calculate the area of each of them. We explain how to calculates the area of a triangle in the link we have just left.
When you have the surface of all triangles composing the irregular rectanglesimply add up all their values and the result you are looking for.
Area of a 3D rectangle
If we are asked to calculate the area of a 3D rectangleWhat we have to do is to calculate the area of each of its 6 faces. For example let's find the area of the three-dimensional rectangle in the figure above.
To this end, we will calculate the surface area of the 3 different faces. The remaining 3 missing sides are equal and thus we save calculations by multiplying by 2:
Side 1: 4 x 3 = 12 cm2
Side 2: 4 x 6 = 24 cm2
Side 3 6 x 3 = 18 cm2
Total area of the 3D rectangle: 2 x (12 + 24 + 18) = 108 cm2
If you have any doubt about how to calculate the area of a rectangle, leave us a comment and we will help you as soon as possible.