Question

in rhombus wxyz below, wv = 7 cm and xv = 10 cm. find the area of the rhombus. be sure to include the correct unit in your answer.

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: Determine the lengths of the diagonals

In rhombus $WXYZ$, the diagonals bisect each other. Given $WV = 7$ cm, then the length of one - diagonal $d_1=2\times WV=14$ cm. Given $XV = 10$ cm, then the length of the other diagonal $d_2 = 2\times XV=20$ cm.

Step3: Calculate the area

Substitute $d_1 = 14$ cm and $d_2=20$ cm into the area formula $A=\frac{1}{2}d_1d_2$. So $A=\frac{1}{2}\times14\times20=140$ $cm^{2}$.

Answer:

$140$ $cm^{2}$