Question

given su=8.2 and tv=16.4, find the area of rhombus stuv. 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 $\text{Area} = \frac{d_1 \times d_2}{2}$, where $d_1$ and $d_2$ are the lengths of its diagonals.

Step2: Substitute given diagonal values

Here, $d_1 = SU = 8.2$ and $d_2 = TV = 16.4$. Substitute into the formula:
$\text{Area} = \frac{8.2 \times 16.4}{2}$

Step3: Calculate the product first

$8.2 \times 16.4 = 134.48$

Step4: Divide by 2 to find area

$\text{Area} = \frac{134.48}{2} = 67.24$

Step5: Round to nearest tenth

$67.24$ rounded to the nearest tenth is $67.2$

Answer:

$67.2$ inches$^2$