a rectangular swimming pool has an area of double 1500ft. The rectangular pool is 50ft. The rectangular walkway that surrounds the pool is 4ft. How many feet of fencing do you need to surround the walkway?

The rectangular swimming pool shown at the right has an area of 1500 ft². A rectangular walkway surrounds the pool. How many feet of fencing do you need to surround the walkway?

To find out how many feet of fencing you would need to surround the walkway, you need to calculate the perimeter of the outer rectangle, which includes the pool and the walkway.

First, let's calculate the dimensions of the pool. Since the area of the pool is double 1500ft² and the pool is rectangular, we can find the length and width of the pool by finding the square root of the area and then dividing by 2.

Area of pool = double 1500ft² = 1500ft² * 2 = 3000ft²

Length of pool = √3000ft² ≈ 54.77ft
Width of pool = 3000ft² ÷ Length of pool ≈ 55.56ft

Next, let's calculate the dimensions of the outer rectangle, which includes the pool and the walkway. Since the walkway surrounding the pool is 4ft wide on each side, we need to add 4ft to the length and width of the pool.

Length of outer rectangle = Length of pool + 2 * walkway width
= 54.77ft + 2 * 4ft
= 54.77ft + 8ft
= 62.77ft

Width of outer rectangle = Width of pool + 2 * walkway width
= 55.56ft + 2 * 4ft
= 55.56ft + 8ft
= 63.56ft

Now that we have the dimensions of the outer rectangle, we can calculate the perimeter by adding all four sides together.

Perimeter of outer rectangle = 2 * (Length + Width)
= 2 * (62.77ft + 63.56ft)
= 2 * 126.33ft
= 252.66ft

Therefore, you would need approximately 252.66 feet of fencing to surround the rectangular walkway.

No way the problem could have been presented as written. It makes no sense.