Question

A rhombus has one diagonal that is 14 centimeters long and one diagonal that is 12 centimeters long. What is the area of the rhombus?

Answer 1

To find the area of a rhombus using its diagonals, you can apply the formula:

\[
\text{Area} = \frac{d_1 \times d_2}{2}
\]

where \( d_1 \) and \( d_2 \) are the lengths of the diagonals. In this case, we have:

- \( d_1 = 14 \) cm
- \( d_2 = 12 \) cm

Substituting the values into the formula gives:

\[
\text{Area} = \frac{14 \times 12}{2}
\]

Calculating the product of the diagonals:

\[
14 \times 12 = 168
\]

Now divide by 2:

\[
\text{Area} = \frac{168}{2} = 84 \text{ cm}^2
\]

Thus, the area of the rhombus is

\[
\boxed{84} \text{ cm}^2.
\]