Question

given ik=12.6 and jl=25.4, find the area of rhombus ijkl. round your answer to the nearest tenth if necessary.
answer attempt 1 out of 2
_______ inches² submit answer

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, $d_1 = IK = 12.6$ and $d_2 = JL = 25.4$. Substitute into the formula:
$\text{Area} = \frac{1}{2} \times 12.6 \times 25.4$

Step3: Calculate the product first

$12.6 \times 25.4 = 320.04$

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

$\frac{1}{2} \times 320.04 = 160.02$

Step5: Round to nearest tenth

$160.02 \approx 160.0$

Answer:

160.0 inches²