Questions: Find the area of the rhombus.

Find the area of the rhombus.
Transcript text: Find the area of the rhombus.
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Solution

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Solution Steps

Step 1: Find the length of the diagonals

The diagonals of the rhombus are formed by the two intersecting lines. Each diagonal is split in half where they intersect. One diagonal has length $6\,\text{ft} + 6\,\text{ft} = 12\,\text{ft}$, and the other has length $15\,\text{ft} + 15\,\text{ft} = 30\,\text{ft}$.

Step 2: Calculate the area

The area of a rhombus is given by the formula: Area $= \frac{1}{2} \times d_1 \times d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals.

In our case, $d_1 = 12\,\text{ft}$ and $d_2 = 30\,\text{ft}$.

Area $= \frac{1}{2} \times 12\,\text{ft} \times 30\,\text{ft} = 180\,\text{ft}^2$.

Final Answer: The final answer is $\boxed{180}$

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