What are the dimensions of the area surrounding a rectangular pool if the pool measures 28 feet long by 23 feet wide and the fence is to be placed 15 feet from the pool's edge?

How many feet of fencing will be required for a rectangular pool that measures 28 feet long by 23 feet wide and has a fence placed 15 feet from the pool's edge?

(A) 53 ft by 58 ft; 222 ft
(B) 53 ft by 58 ft; 111 ft
(C) 222 ft by 58 ft; 53 ft
(D) 38 ft by 43 ft; 162 ft

To determine the dimensions of the area surrounding the rectangular pool, we need to add 15 feet to each side of the pool's length and width.

For the length, we add 15 feet to both sides, so the total increase in length is 15 + 28 + 15 = 58 feet.

For the width, we also add 15 feet to both sides, so the total increase in width is 15 + 23 + 15 = 53 feet.

Therefore, the dimensions of the area surrounding the pool are 58 feet by 53 feet.

To find the total amount of fencing required, we need to calculate the perimeter of this area.

The perimeter is calculated by adding up all four sides of the rectangle.

For the given dimensions of 58 feet by 53 feet, the perimeter is 2(58) + 2(53) = 116 + 106 = 222 feet.

Therefore, the correct answer is (A) 53 ft by 58 ft; 222 ft.

To find the dimensions of the area surrounding the rectangular pool, you need to add twice the distance of the fence to the length and width of the pool.

Given:
Pool length = 28 feet
Pool width = 23 feet
Distance of the fence = 15 feet

To find the total length and width of the area surrounding the pool, you add twice the distance of the fence to the length and width of the pool.

Total length of the area = Pool length + (2 * Fence distance)
= 28 + (2 * 15)
= 28 + 30
= 58 feet

Total width of the area = Pool width + (2 * Fence distance)
= 23 + (2 * 15)
= 23 + 30
= 53 feet

Therefore, the dimensions of the area surrounding the pool are 58 feet by 53 feet.

To find the total amount of fencing required, you need to calculate the perimeter of the area surrounding the pool.

Perimeter = 2 * (Length + Width)
= 2 * (58 + 53)
= 2 * 111
= 222 feet

Therefore, the correct answer is (B) 53 ft by 58 ft; 111 ft