The area of the floor is (14 x 10) = 140 square feet.
The area of the ceiling is (14 x 10) = 140 square feet.
The area of two of the sides is (14 x 10) = 140 square feet each.
The area of the other two sides is (10 x 10) = 100 square feet each.
Building or residential "square footage" normally means the area of the floor.
For this patio, that's 140 square feet.
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length x width
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A cubic yard of gravel will cover 81 square feet at 4" of thickness. Multiply the width of the patio by the length of the patio to get your square footage. Gravel is usually sold by the cubic yard.
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There are two ways to answer your question. If you mean the circle is 16 feet wide (diameter), then the square footage is 201.06 square feet. However, if you mean the circle is 16 feet around (circumference), the square footage will be 20.372 square feet.
dynamohi.com
You say 12'x12 `—> that ' is the sign for feet. so if the patio is 12 feet by 12 feet then it is 144 square feet. You don't say what measurement the "4 thick" is, but I presume it is inches. 4 inches is 1/3 of a foot, so divide the square footage by 3 and that will give you the cubic footage - if the patio is 12 feet by 12 feet and 4 inches thick then the cubic footage is 48.
They are not always enclosed but most are. They are enclosed so you can enjoy the outside even in bad weather.
If one side is twice the length of the other and the square footage is 800 I'd say one side is 20 feet and the other is 40.