Final answer:
The area of the large city pool, which has doubled dimensions compared to a smaller pool with a length of 12 feet and perimeter of 38 feet, is calculated to be 336 square feet.
Step-by-step explanation:
The question asks for the area of a large city pool which is twice as long and twice as wide as a smaller pool. First, we determine the dimensions of the smaller pool. With a length of 12 feet and a perimeter of 38 feet, we can calculate the width:
Perimeter of a rectangle = 2(length + width)
38 = 2(12 + width)
19 = 12 + width
Width = 19 - 12
Width = 7 feet
Now, for the larger pool, the dimensions are doubled, so the length is 12 feet x 2 = 24 feet, and the width is 7 feet x 2 = 14 feet. To find the area, multiply length by width:
Area of large pool = length x width
Area of large pool = 24 feet x 14 feet
Area of large pool = 336 square feet
The answer is that the area of the large city pool is 336 square feet.