![]() Learning to calculate the area of a square is thus a precursor for learning how to calculate the areas of more advanced shapes. 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°). 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 (all opposite sides are parallel), and, of course, a rectangle, in which the opposite sides are equal in length and all of its angles are 90°. Still it is a good teaching device as it contains the rules for solving many other shapes. If the square side is equal to 5 in, then the diagonal is 5. Example: Calculate the diagonal of a rectangle with height of 4 cm and width of 7 cm. Diagonal of a Rectangle (a² + b²) a - Height. Ingrain this relationship into your brain and heart so that never again will you wonder how to find the diagonal of a square. To calculate the diagonal of a rectangle, add the square of its height to the square of its width, and then take the square root of the result. we rarely deal with square areas and surfaces - they are more often rectangular in shape. To calculate the length of the diagonal of a square, multiply the length of the side by the square root of 2: diagonal 2 × side. In real life measurements, like in construction, engineering, landscaping, etc. The simplicity of the square is why it is usually one of the first shapes that geometry students become familiar with. You then multiply it by itself to get to the area, so the formula used in this area of a square calculator is just as simple. The area of a square is one of the easiest to calculate in that it requires just one measurement of the square to be known - its side. Short diagonals They do not cross the central point. ![]() ![]() As you can notice from the picture above, the length of such a diagonal is equal to two edge lengths: D 2 × a. The result will be in whatever metric you did the measurement in, but squared: square mm, square cm, square dm, square meters or square inches, square feet, square yards, square miles etc. Our diagonal of a rectangle calculator is an extensive tool that quickly finds the diagonal and other parameters of a rectangle. Here is how you calculate the two types of diagonals: Long diagonals They always cross the central point of the hexagon. The solution to the equation is straightforward multiplication and this is the formula used in our area of a square online calculator. The formula for the area of a square is side 2, as seen in the figure below:
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