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?
(1 point)
To find the area of the deck, we need to subtract the area of the pool from the area of the pool plus the deck.
The area of the pool is length times width, which is 20 ft × 12 ft = <<20*12=240>>240 ft².
The deck has a uniform width of 6 ft around all sides of the pool, so we can add 6 ft to the length and width of the pool to find the dimensions of the pool plus the deck.
The length of the pool plus the deck is 20 ft + 2×6 ft = 32 ft.
The width of the pool plus the deck is 12 ft + 2×6 ft = 24 ft.
The area of the pool plus the deck is 32 ft × 24 ft = <<32*24=768>>768 ft².
To find the area of the deck only, we subtract the area of the pool from the area of the pool plus the deck:
768 ft² - 240 ft² = <<768-240=528>>528 ft².
Therefore, the area of the deck only is 528 ft². Answer: \boxed{528}.
is this true
Yes, the calculations provided are correct. The area of the deck only is indeed 528 ft².
To find the area of the deck only, we need to subtract the area of the pool from the total area of the deck and pool combined.
Step 1: Calculate the total area of the deck and pool combined.
The area of the pool is 20 ft × 12 ft = 240 square ft.
To account for the deck width, we need to add 6 ft to the length and width of the pool:
Length of deck = 20 ft + 2 × 6 ft = 20 ft + 12 ft = 32 ft
Width of deck = 12 ft + 2 × 6 ft = 12 ft + 12 ft = 24 ft
The total area of the deck and pool combined is therefore:
Total area = Length of deck × Width of deck = 32 ft × 24 ft = 768 square ft
Step 2: Calculate the area of the deck only.
To find the area of the deck only, we need to subtract the area of the pool from the total area of the deck and pool combined:
Area of deck only = Total area - Area of pool = 768 square ft - 240 square ft = 528 square ft
So, the area of the deck only is 528 square ft.
To find the area of the deck only, we need to subtract the area of the pool from the total area of the deck and pool combined.
First, let's find the area of the pool:
Area of the pool = length × width
= 20 ft × 12 ft
= 240 ft²
Next, let's find the total area of the deck and pool combined:
The length of the deck, which is the same as the pool, is 20 ft.
Since the deck has a uniform width of 6 ft on each side, we need to add 6 ft on each side of the length.
Total length including deck = 20 ft + 6 ft + 6 ft
= 20 ft + 12 ft
= 32 ft
Similarly, the width of the deck, which is the same as the pool, is 12 ft.
Since the deck has a uniform width of 6 ft on each side, we need to add 6 ft on each side of the width.
Total width including deck = 12 ft + 6 ft + 6 ft
= 12 ft + 12 ft
= 24 ft
Now, let's find the total area of the deck and pool combined:
Total area = total length including deck × total width including deck
= 32 ft × 24 ft
= 768 ft²
Finally, to find the area of the deck only, we subtract the area of the pool from the total area of the deck and pool combined:
Area of the deck only = Total area - Area of the pool
= 768 ft² - 240 ft²
= 528 ft²
Therefore, the area of the deck only is 528 square feet.