how to find area of a rhombus
2 Formula for Finding the Area of a Rhombus
Trying to find the area of a rhombus can be simple. Here, we'll look at the two formulas for the area that don't use trigonometry so you can find your answer without too many headaches.
You can use one of these two formulas to find the area of a rhombus:
In this formula, h is the length of the height and s is the length of any side.
Here, p and q are the lengths of your two diagonals.
Before we show you how to use these formulas, let's explain what a rhombus is.
What Is a Rhombus?
First and foremost, a rhombus is a parallelogram. It's a four-sided figure where the opposite sides are parallel and all sides have equal lengths. Both squares and rhombuses are considered parallelograms.
While squares have four equal sides and four right angles, a rhombus has four equal sides but may not have four sets of right angles. Instead, the sides of a rhombus contain one set of parallel sides with equal acute angles (less than 90°) and another set of parallel sides with equal obtuse angles (greater than 90°).
Image credit: Desmos
Look at the angles in the rhombus above. As you can see, only the opposite angles of the rhombus match. We have one set of obtuse angles and one set of acute angles.
Finding the Area of a Rhombus: Method 1
In order to determine the area of the rhombus, you can use one of the following rhombus formula:
Where h is the length of the height and s is the length of a side. We'll apply the height and side lengths of the below rhombus:
Image credit: Desmos
Remember, when calculating area, your answer should always be in square units.
Finding the Area of a Rhombus: Method 2
In this second formula, p and q are the diagonals of the rhombus. Let's use the area formula to determine the area of the rhombus below:
Image credit: Desmos
As you can see, the diagonals of a rhombus go from the vertex of an interior angle to its matching one. The lengths of the diagonals vary.
Let's use the given lengths and insert them into the area of a rhombus formula:
Now that we know the product of the diagonals, we divide by two to find the final area:
It's Easy to Find the Area of a Rhombus
Finding the area of a rhombus is easy. You just need to remember the perimeter of a rhombus is made of four equal sides containing two separate sets of matching interior angles. These can (but do not have to) match.
You can then use the lengths of both the diagonals of a rhombus or the height and side length to determine the final area of a rhombus.
More Math Homework Help
- How to Find the Area of a Right Triangle the Easy Way
- Sine Function, Cosine Function, and Tangent Function Explained
- Here's How to Find the Hypotenuse of a Right Triangle
how to find area of a rhombus
Source: https://tutorme.com/blog/post/area-of-a-rhombus/
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