Question

given su = 8.2 and tv = 16.4, find the area of rhombus stuv. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall the formula for the area of a 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

In rhombus \(STUV\), \(d_1 = SU = 8.2\) and \(d_2=TV = 16.4\).

Step3: Substitute the values into the formula

Substitute \(d_1 = 8.2\) and \(d_2 = 16.4\) into \(A=\frac{1}{2}d_1d_2\).

$$
LATEXBLOCK0
$$

Answer:

\(67.2\)