Question

given km=13.8 and ln=41.4, find the area of rhombus klmn. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is given by $\frac{1}{2} \times d_1 \times d_2$, where $d_1$ and $d_2$ are the lengths of its diagonals.

Step2: Substitute given diagonal values

Here, $d_1 = KM = 13.8$ and $d_2 = LN = 41.4$. Substitute into the formula:
$\text{Area} = \frac{1}{2} \times 13.8 \times 41.4$

Step3: Calculate the product first

$13.8 \times 41.4 = 571.32$

Step4: Multiply by $\frac{1}{2}$

$\text{Area} = \frac{571.32}{2} = 285.66$

Step5: Round to nearest tenth

$285.66 \approx 285.7$

Answer:

285.7