A rectangle is a type of plane figure bounded by four straight lines, called sides, that are all of equal length. The term rectangle derives from the Ancient Greek “rectanglos”, meaning “having right angles”. Each lateral side is called a “leg” or “praecisus”, and the two shorter ones are called the “perimetrales”. The intersection of two perpendicular lines determines both the length and width of this shape’s figure. The angle made with each leg can also be calculated with simple absolute-value equations. The rectangle has numerous uses in both mathematics and geometry.
What is a Rectangle in Geometry?
Rectangular dimensions are usually defined as a pair of two numbers called the length and width, which together define an area. For example, an area of 18 square feet with a length of 3 feet and width 2 feet would be built on a rectangular base.
What Does A Rectangular Base Look Like?
If you have seen pictures or drawings of buildings made with rectangular dimensions, they often have symmetrical shapes. This is because such shapes are easy to create and divide into pieces that could be used to build structures like walls, roofs, columns and more.
Properties of Rectangle:
1) Perimeter: When we say that two sides are perpendicular to each other, it means that they intersect at a 90 degree angle. This means that the length of the diagonal is equal to the length of the sides of the rectangle.
2) Diagonals: The diagonal is a line segment between two consecutive vertices (i.e. corners or edges). It is half as long as one side and bisects the rectangle into two equal rectangles.
3) Symmetry: This shape has 4 distinct symmetry instances and belongs to the point group,which has 48 distinct symmetry operations including translations, rotations, reflections, inversions, and vertical mirrorings. The symmetry of this shape is also evident from the fact that if one draws a horizontal line from any point on a side and traces it along the other three sides, one will notice that the traced line undergoes no reflection. Also, if one draws a vertical line from any point on a side and traces it along the other three sides, one will notice that the traced line undergoes no reflection.
4) Semiregular Shapes: The ratio of length to width is constant for these shapes. To calculate the perimeter (distance around), multiply length times width and divide by 2.Rectangle Properties:
There are a number of properties that define geometry shapes. These properties apply to both the area of the shape and its perimeter. The properties can include: – Symmetry – Describes whether or not a shape is balanced in design – Equality – The ratio between the width and length sides – Convexity – Describes whether or not a shape bulges outwards or inwards at its center – Angles – The angles formed by the four straight sides
Dimensions of Rectangle:
1) The length of a rectangle is the distance of one side from another.
2) The width is the distance of one side from another.
3) The area of a rectangle is the product of its length and width.
4) The perimeter is the sum of all sides.
5) Diagonals (or Perimetrals) are lines that connect opposite corners of a rectangle to form two triangles that share an edge at their end . (constructions are shown below)
6) A diagonal (perimeter line or perimetric, as mentioned above) segment has two endpoints and contains part of two sides of a figure.
7) The sum of two sides of a rectangle is equal to the length of one another.
8) A rectangle has four right angles . These are formed by the intersection of two adjacent sides.
9) A square has four right angles, but it does not have a diagonal.
Real Life Examples of Rectangle:
1] An A4 size sheet is a rectangle geometry shape. Each side measures about 210mm x 297mm.
2] A house wall is constructed by the use of rectangular dimensions. The wall length, width and height can be used to calculate the area and perimeter of the wall.
3] Picture frames are also made in rectangular dimensions.
4] Various parts of a plane, ship, truck or plane are also constructed with rectangular geometry shapes.
Conclusion:
Rectangular dimensions are one of the most common geometry shapes used for construction. It is based on simple calculations with a set of universally applicable properties. This geometry shape is also present in real life examples such as in houses, buildings and vehicles. The familiarity that people have with this geometry shape makes it easier for them to comprehend its significance and purposes. Thus, it can be concluded that rectangular shapes play an important role in making construction possible in real life.