To determine how many feet of fencing the homeowner will need to build the dog pen, we need to calculate the perimeter of the space she wishes to fence in. The options provided suggest either a straightforward perimeter calculation or a more complex calculation involving the square roots of certain numbers.
Assuming we have a clear view of the graph mentioned (though it's not visible in this format), you would typically calculate the perimeter by:
- Adding the lengths of all sides of the fenced area.
- If there are any diagonal segments, you'd apply the distance formula (or the Pythagorean theorem) to find those lengths.
Let's review the answers provided based on common perimeter calculations:
- 38 feet: This could indicate a rectangular pen with sides summing up to 38.
- 23 + √26 feet: This option suggests that part of the pen is based on a distance determined by the square root of 26.
- 33 feet: Like the first option, this could represent a straightforward perimeter calculation.
- 23 + √109 feet: Similar to the previous square root option, implying a right-angled section or similar.
Without the specific lengths and configuration of the dog's pen, it’s challenging to determine the answer precisely. However, typically, if the fenced area is rectangular or consists of linear segments, the perimeter is simply the sum of all sides. If there are diagonals, the square root options might apply.
If you have coordinates or side lengths available, you could offer them here, and we can do the calculation together. But if the shape is standard (like a rectangle/square), we can proceed with those options accordingly.