Area of a Square = side × side = side² square units Perimeter = 4 x side = 4 √Area units. Thus, we can find the perimeter of a square given its area. Example: If area of square is 16 sq.cm.
Summary: If the area of a square game board is 144 sq.in then the length of one of the sides of the board is 12 inches.
Since all sides of a square are equal, we only need one side to find its perimeter. The perimeter of the given square is: a + a + a + a = 4 a units. Hence, the formula of the perimeter of a square = 4 × (length of any one side).
A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.
The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.
Hence, the length of each side of the square having area 144 cm² is 12cm.
In order to find the perimeter, or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length. Perimeter=(length+width)×2 is the formula for perimeter.
How to find perimeter - perimeter formulasSquare perimeter formula: P = 4a.Rectangle perimeter formula: P = 2(a + b)Triangle perimeter formulas: ... Circle perimeter formula: P = 2πr.Circle sector perimeter formula: P = r(α + 2) ( α is in radians)Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))More items...•
The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers.
To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
If you are measuring a square or rectangle area, multiply length times width; Length x Width = Area. For other area shapes, see formulas below to calculate Area (ft2) = Square Footage.
Area = l × w. l = length. w = width. Area of Square. Area = a2.
The only measurement needed to find the area of a square figure is its side. Since all sides are equal it does not matter which side is measured. Then simply multiply the measurement by itself to get the area.
Therefore, a square combines the properties of all of these shapes: diagonals bisect at 90°, diagonals bisect the square angles, diagonals are equal, the sides are equal, opposite sides are equal, all angles are equal (90°).
Still it is a good teaching device as it contains the rules for solving many other shapes. This is because a square can be interpreted as a special case of a rhombus (equal sides and opposite equal angles), a kite (two pairs of adjacent equal angles), a trapezoid (one pair of opposite sides are parallel), a parallelogram ...