Area of a rhombus: how to calculate it if you know the base and height or the diagonals. Direct formula and inverse formulas to use for mathematical calculations.
Area of the rhombus
How do you calculate the area of a rhombus? To answer this question, we must first understand how this geometric figure is made.A rhombus is a polygon that has four congruent sides – that is, the same length.
About the characteristics of this geometric figure: opposite sides are parallel, opposite angles are congruent and consecutive angles are complementary.The diagonals of the rhombus are perpendicular, and each of these divides it into two isosceles triangles .
How to calculate the area of a rhombus: formulas
The area of a rhombus can be calculated like that of any parallelogram:
- A= a · h , where a is the base and h the height.
Another way to calculate the area of a rhombus is to use the diagonals. What should you do if you know the diagonals? Multiply the larger diagonal by the smaller diagonal and divide the result by 2 .
- How do you calculate the area of a rhombus?
The area of a rhombus is calculated using the formula: A = (D ⋅ d)/2. Where “D” is the major diagonal and “d” is the minor diagonal. Alternatively, if you know the base and height, you can use the following formula: A = base × height.
- How do you calculate the area of a rhombus with the inverse formulas?
To calculate the diagonals of the rhombus from the inverse formulas of the area “A”, we use: D = 2A/d; d = 2A/D. If instead we know the height “h” and the base “b”, we use: b = A/h or h = A/b.
- How do you calculate the area of a surface?
The area of a surface is calculated based on its geometric shape, applying the appropriate formula. For example, for a rectangle we use: A = base x height. For a circle: A = πr². For a triangle: A = (base x height)/2.