A deck is being built around a rectangular swimming pool. The swimming pool is 20 ft × 12 ft and the deck has a uniform width of 6 ft. What is the area of the deck only?
The total area of the pool and deck is (20+12)(12+12).
(32*24) - (20*12) = ?
528 inches of the deck
336
528
To find the area of the deck, we need to subtract the area of the pool from the total area of the deck plus the pool.
First, let's find the total area of the deck plus the pool. Since the deck has a uniform width of 6 ft on all sides of the pool, we can calculate the dimensions of the deck plus pool as follows:
Length: 20 ft (pool length) + 6 ft (deck width on one side) + 6 ft (deck width on the other side)
Width: 12 ft (pool width) + 6 ft (deck width on one side) + 6 ft (deck width on the other side)
Length = 20 ft + 6 ft + 6 ft = 32 ft
Width = 12 ft + 6 ft + 6 ft = 24 ft
Now that we have the dimensions of the deck plus the pool, we can calculate the total area:
Total area = Length × Width = 32 ft × 24 ft = 768 ft²
Next, let's find the area of just the pool:
Pool area = Length × Width = 20 ft × 12 ft = 240 ft²
Finally, we can find the area of the deck by subtracting the pool area from the total area:
Deck area = Total area - Pool area = 768 ft² - 240 ft² = 528 ft²
Therefore, the area of the deck only is 528 square feet.