A pool and deck are in the shape of a rectangle that is 30 feet long. The deck is a square with a perimeter of 32 feet. The deep end of the pool is a square with a perimeter of 32 feet. The rest of the pool has shallow water. What is the area of the part of the pool that has shallow water? A. 352 square feet B. 480 square feet C. 176 square feet D. 188 square feet

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Calculate Deck Side Length: First, let's find the side length of the deck, which is a square. The perimeter of the square deck is 32 feet. Since the perimeter of a square is four times one of its sides, we can find the side length by dividing the perimeter by 4. Calculation: Side length of the deck = Perimeter of the deck / 4 = 32 feet / 4 = 8 feet.Calculate Deck Area: Next, we calculate the area of the deck, which is a square. The area of a square is the side length squared. Calculation: Area of the deck = Side length of the deck ^ 2 = 8 feet ^ 2 = 64 square feet.Calculate Deep End Side Length: Now, let's find the side length of the deep end of the pool, which is also a square with a perimeter of 32 feet. Using the same calculation as for the deck, we find that the side length of the deep end is also 8 feet. Calculation: Side length of the deep end = Perimeter of the deep end / 4 = 32 feet / 4 = 8 feet.Calculate Deep End Area: We calculate the area of the deep end of the pool, which is a square. The area of a square is the side length squared. Calculation: Area of the deep end = Side length of the deep end ^ 2 = 8 feet ^ 2 = 64 square feet.Calculate Entire Rectangle Width: The entire pool and deck together form a rectangle that is 30 feet long. Since the deck is 8 feet wide (the same as its length), the width of the entire rectangle (pool and deck) is also 8 feet. Calculation: Width of the entire rectangle = Width of the deck = 8 feet.Calculate Entire Rectangle Area: We calculate the area of the entire rectangle (pool and deck) by multiplying the length by the width. Calculation: Area of the entire rectangle = Length * Width = 30 feet * 8 feet = 240 square feet.Calculate Shallow Part Area: To find the area of the part of the pool that has shallow water, we subtract the area of the deck and the area of the deep end from the area of the entire rectangle. Calculation: Area of shallow part = Area of entire rectangle - Area of deck - Area of deep end = 240 square feet - 64 square feet - 64 square feet = 112 square feet.

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