Answer:
The length of fencing is 146 feet.
Explanation:
The length of fencing is equal to the perimeter of the rectangle plus 8 times the width of the border between the edge of the pool and the fence. By Geometry, we find that the perimeter (
), measured in feet, is equal to:
(1)
Where:
- Width of the pool, measured in feet.
- Length of the pool, measured in feet.
- Width of the border, measured in feet.
If we know that
,
and
, then the length needed of fencing is:
![p = 2\cdot (45\,ft+5\,ft)+2\cdot (18\,ft+5\,ft)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ube6y9r2xj4yt1oi97nimde3t2qyei7fb9.png)
![p = 146\,ft](https://img.qammunity.org/2022/formulas/mathematics/high-school/uwjdbzsxuuusiznwqp7r4x9fub6i7odvf3.png)
The length of fencing is 146 feet.