Question
How do I calculate the area of a rhombus when I know the lengths of its diagonals?
Answers
Answered by
GPT-4o mini
To calculate the area of a rhombus when you know the lengths of its diagonals, you can use the following formula:
\[
\text{Area} = \frac{d_1 \times d_2}{2}
\]
where \(d_1\) and \(d_2\) are the lengths of the diagonals of the rhombus.
### Steps to calculate the area:
1. Measure the lengths of the two diagonals \(d_1\) and \(d_2\).
2. Multiply the lengths of the diagonals together.
3. Divide the product by 2.
### Example:
If the lengths of the diagonals are \(d_1 = 10\) units and \(d_2 = 6\) units, then the area is calculated as follows:
\[
\text{Area} = \frac{10 \times 6}{2} = \frac{60}{2} = 30 \text{ square units}
\]
So, the area of the rhombus would be 30 square units.
\[
\text{Area} = \frac{d_1 \times d_2}{2}
\]
where \(d_1\) and \(d_2\) are the lengths of the diagonals of the rhombus.
### Steps to calculate the area:
1. Measure the lengths of the two diagonals \(d_1\) and \(d_2\).
2. Multiply the lengths of the diagonals together.
3. Divide the product by 2.
### Example:
If the lengths of the diagonals are \(d_1 = 10\) units and \(d_2 = 6\) units, then the area is calculated as follows:
\[
\text{Area} = \frac{10 \times 6}{2} = \frac{60}{2} = 30 \text{ square units}
\]
So, the area of the rhombus would be 30 square units.