Question

Fill in the steps to find the area of the shape. Units are in yards.

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Step 1: Find the distance of the line that connects A to B and the line that connects B to C

Once these are found, v we will multiply each by 2 and then add these

The final answer

Answer 1

To find the area of a shape defined by points A, B, and C, you can follow these steps:

**Step 1:** Find the distance of the line that connects A to B and the line that connects B to C.

- **Calculate the distance AB**:
Use the distance formula:
\[
AB = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}
\]

- **Calculate the distance BC**:
Again, use the distance formula:
\[
BC = \sqrt{(x_C - x_B)^2 + (y_C - y_B)^2}
\]

**Step 2:** Multiply each distance by 2.

- **Calculate the doubled distances**:
\[
AB_{doubled} = AB \times 2
\]
\[
BC_{doubled} = BC \times 2
\]

**Step 3:** Add the multiplied distances.

\[
Total = AB_{doubled} + BC_{doubled}
\]

**Step 4:** Determine whether to use the area formula relevant for the specific shape you're working with (e.g., triangle, rectangle). For example, if ABC is a triangle:

- Use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

**Final Answer:**
The final answer will depend on the specific lengths found and the calculation of the area.
Make sure to state the area clearly:
\[
\text{The area of the shape is } X \text{ square yards.}
\]
Where \(X\) will be the computed area using steps relevant to the selected shape. If the shape is not a triangle, ensure to apply the correct area formula for that shape instead.