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The area of a square is the product of the length of its sides. The perimeter of a square whose four sides have length ... Examples: Two squares can tile ...
This list ranks the top 150 U.S. cities (incorporated places) by 2024 land area. Total areas including water are also given, but when ranked by total area, a number of coastal cities appear disproportionately larger. San Francisco is an extreme example: water makes up nearly 80% of its total area of 232 square miles (601 km 2).
The square is an Imperial unit of area that is used in the construction industry in the United States and Canada, [1] and was historically used in Australia. One square is equal to 100 square feet. Examples where the unit is used are roofing shingles, metal roofing, vinyl siding, and fibercement siding products.
That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: [1] [2] A = s 2 (square). The formula for the area of a rectangle follows directly from the basic properties of area, and is sometimes taken as a ...
The second moment of area, also known as area moment of inertia, is a geometrical property of an area which reflects how its points are distributed with respect to an arbitrary axis. The unit of dimension of the second moment of area is length to fourth power, L 4, and should not be confused with the mass moment of inertia.
The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 ...
Another geometric proof proceeds as follows: We start with the figure shown in the first diagram below, a large square with a smaller square removed from it. The side of the entire square is a, and the side of the small removed square is b. The area of the shaded region is . A cut is made, splitting the region into two rectangular pieces, as ...
For example, 1 kilometre is 10 3 (one thousand) times the length of 1 metre, but 1 square kilometre is (10 3) 2 (10 6, one million) times the area of 1 square metre, and 1 cubic kilometre is (10 3) 3 (10 9, one billion) cubic metres.