Recall that one of the ways to find the area of a rhombus is with the following formula:

\(\displaystyle \text{Area}=\text{base}\times\text{height}\)

Now, since all four sides in the rhombus are the same, we know from the given side value what the length of the base will be. In order to find the length of the height, we will need to use sine.

\(\displaystyle \sin x=\frac{\text{height}}{\text{side}}\), where \(\displaystyle x\) is the given angle.

\(\displaystyle \text{height}=(\text{side})(\sin x)\)

Now, plug this into the equation for the area to get the following equation:

\(\displaystyle \text{Area}=(side)^2 \sin x\)

Plug in the given side length and angle values to find the area.

\(\displaystyle \text{Area}=(3)^2\sin 112=8.34\)

Make sure to round to \(\displaystyle 2\) places after the decimal.

Recall that one of the ways to find the area of a rhombus is with the following formula:

\(\displaystyle \text{Area}=\text{base}\times\text{height}\)

Now, since all four sides in the rhombus are the same, we know from the given side value what the length of the base will be. In order to find the length of the height, we will need to use sine.

\(\displaystyle \sin x=\frac{\text{height}}{\text{side}}\), where \(\displaystyle x\) is the given angle.

\(\displaystyle \text{height}=(\text{side})(\sin x)\)

Now, plug this into the equation for the area to get the following equation:

\(\displaystyle \text{Area}=(side)^2 \sin x\)

Plug in the given side length and angle values to find the area.

\(\displaystyle \text{Area}=(7)^2\sin 129=38.08\)

Make sure to round to \(\displaystyle 2\) places after the decimal.

Recall that one of the ways to find the area of a rhombus is with the following formula:

\(\displaystyle \text{Area}=\text{base}\times\text{height}\)

Now, since all four sides in the rhombus are the same, we know from the given side value what the length of the base will be. In order to find the length of the height, we will need to use sine.

\(\displaystyle \sin x=\frac{\text{height}}{\text{side}}\), where \(\displaystyle x\) is the given angle.

\(\displaystyle \text{height}=(\text{side})(\sin x)\)

Now, plug this into the equation for the area to get the following equation:

\(\displaystyle \text{Area}=(side)^2 \sin x\)

Plug in the given side length and angle values to find the area.

\(\displaystyle \text{Area}=(9)^2\sin 84=80.56\)

Make sure to round to \(\displaystyle 2\) places after the decimal.

Recall that one of the ways to find the area of a rhombus is with the following formula:

\(\displaystyle \text{Area}=\text{base}\times\text{height}\)

Now, since all four sides in the rhombus are the same, we know from the given side value what the length of the base will be. In order to find the length of the height, we will need to use sine.

\(\displaystyle \sin x=\frac{\text{height}}{\text{side}}\), where \(\displaystyle x\) is the given angle.

\(\displaystyle \text{height}=(\text{side})(\sin x)\)

Now, plug this into the equation for the area to get the following equation:

\(\displaystyle \text{Area}=(side)^2 \sin x\)

Plug in the given side length and angle values to find the area.

\(\displaystyle \text{Area}=(4)^2\sin 82=15.84\)

Make sure to round to \(\displaystyle 2\) places after the decimal.