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 area formula for rhombus

The area formula of a rhombus is $A=\frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Identify the diagonals

Here, $d_1 = KM=13.8$ and $d_2=LN = 41.4$.

Step3: Calculate the area

$A=\frac{1}{2}\times13.8\times41.4$
$A = 6.9\times41.4$
$A=285.66$

Answer:

$285.7$ inches$^{2}$