Final answer:
To find the cost of installing a picket fence around a larger lot, calculate the perimeter of the new lot, determine the cost per foot from the smaller lot, and then apply that to the larger lot's perimeter. The cost for the new lot would be $6785.
Step-by-step explanation:
The question involves calculating the cost of installing a fence around a new, larger lot based on the cost known for a smaller lot. To solve this, we will first calculate the perimeter of both lots and find the cost per foot for the smaller lot. Then, we'll use that cost per foot to estimate the cost for the new lot.
For the smaller lot with dimensions 110 ft by 150 ft, the perimeter is calculated as:
- 2 × (110 ft + 150 ft) = 520 ft
Given that it costs $5980 to install the fence around this lot, we can find the cost per foot:
- $5980 / 520 ft = $11.50 per foot
Now, we calculate the perimeter of the new, larger lot with dimensions 125 ft by 170 ft:
- 2 × (125 ft + 170 ft) = 590 ft
Finally, using the cost per foot, we can find the cost to have a picket fence installed around the new lot:
- $11.50 per foot × 590 ft = $6785
Therefore, the cost to install a picket fence around the lot that is 125 ft by 170 ft would be $6785.