Question

what is the area of the rhombus shown below? ac = 17 bd = 15 a. 190.4 square units b. 16 square units c. 127.5 square units d. 255 square units

Explanation:

Step1: Recall area formula for 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 the rhombus, the diagonals are $AC = 17$ and $BD=15$.

Step3: Calculate the area

Substitute the values into the formula: $A=\frac{1}{2}\times17\times15=\frac{255}{2}=127.5$ square units.

Answer:

C. 127.5 square units