rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square…

Explanation:

Step1: Identify the diagonals

The diagonals of a rhombus are perpendicular bisectors of each other. By counting the grid - squares, the length of diagonal $WY$: The $y$ - coordinate of $W$ is 2 and of $Y$ is 2. The $x$ - coordinates are - 4 and 4. So the length of $WY=\vert-4 - 4\vert=8$. The length of diagonal $XZ$: The $x$ - coordinate of $X$ is 0 and of $Z$ is 0. The $y$ - coordinates are 4 and - 2. So the length of $XZ=\vert4-( - 2)\vert = 6$.

Step2: Use the area formula

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. Substitute $d_1 = 8$ and $d_2=6$ into the formula: $A=\frac{1}{2}\times8\times6$.

Step3: Calculate the area

$A=\frac{1}{2}\times8\times6 = 24$.

Answer:

24 square units