Quantitative aptitude related to quadrilateral properties is one of the important mensuration chapters. Because every competitive examiner asks one or several questions from this chapter in the quantitive aptitude section. It is the same important as Triangle, Circle, and some other mensuration chapters. Here, we will inform you of the quadrilateral properties, shortcut formula, aptitude question, and easy solution by math tricks.
What is quadrilateral? The quadrilateral is a figure which has made of four arms and has four angles. There are many types of quadrilateral figures we found. So, we have to get a clear idea of each quadrilateral figure to solve aptitude-related questions. Here, we will discuss the properties and shortcut mensuration formulas.
The formula for the area of Square:-
As we know, all arms are equal to the Square. So, you can calculate it as Arm^2 or Arm*Arm.
Formulas related to diagonal of the Square:- A diagonal divides a square into two equal triangles. We can find the area of a square by knowing the length of a diagonal. So the examiner asks questions by giving the length of the diagonal. Here, we included Triangle also in the Square because we will use the Pethegoius formula.
Above, we describe all formulas to determine the area, perimeter, and arm length by knowing the diagonal length. Examiner always asks for perimeter, area, and side length by giving the diagonal length of a square. Here, we used the Pythagorean theorem to find the hypotenuse of a triangle. As you know, the diagonal divides a square into two equal triangles. So the diagonal is the hypotenuse of a triangle.
Properties of Rectangular:-
The rectangular is a particular shape of the quadrilateral. The properties of rectangular are shown below.
Area of a rectangular =(lenght*Base)
Diagonal of a rectangular:- To calculate the diagonal of a rectangular, you can use the Pethegoius formula. Because diagonal of rectangular divide it into two equal triangles. And diagonal becomes the common hypotenuse of two triangles. As per the Petthegoius formula, the hypotenuse is
What is quadrilateral? The quadrilateral is a figure which has made of four arms and has four angles. There are many types of quadrilateral figures we found. So, we have to get a clear idea of each quadrilateral figure to solve aptitude-related questions. Here, we will discuss the properties and shortcut mensuration formulas.
Quadrilateral properties
Mensuration formulas of the Square:- Square is one of the important parts of the quadrilateral. It is mainly four equal-arms and Angeles figures. All angels are the right angels.The formula for the perimeter, area, and diagonal of the Square
The perimeter formula for the Square is straightforward. The perimeter is the sum of the outer length of the figure. So, you can calculate the perimeter of a square by adding the length of all arms or multiplying an arm by four because all sides are equal.The formula for the area of Square:-
As we know, all arms are equal to the Square. So, you can calculate it as Arm^2 or Arm*Arm.
Formulas related to diagonal of the Square:- A diagonal divides a square into two equal triangles. We can find the area of a square by knowing the length of a diagonal. So the examiner asks questions by giving the length of the diagonal. Here, we included Triangle also in the Square because we will use the Pethegoius formula.
Find area, perimeter, and arm length by the diagonal of a square.
Properties of Rectangular:-
The rectangular is a particular shape of the quadrilateral. The properties of rectangular are shown below.
- Opposite arms are equal and parallel.
- All angels are the same and right angle.
- Rectangular have two equal diagonals and bisect each other equally.
- All squares are Rectangular.
Mensuration shortcut formulas of Rectangular
The perimeter of a rectangular is the sum of all outer lines(arms). As opposite arms are equal, we can calculate the rectangular perimeter by formula 2(length+base).Area of a rectangular =(lenght*Base)
Diagonal of a rectangular:- To calculate the diagonal of a rectangular, you can use the Pethegoius formula. Because diagonal of rectangular divide it into two equal triangles. And diagonal becomes the common hypotenuse of two triangles. As per the Petthegoius formula, the hypotenuse is
To use this formula in rectangular, the length will be the length, and height will be the base of the rectangular.
In the next tutorial, we will apply all formulas maintained on this topic. After then, we will give you a few more kinds of quadrilateral properties, shortcut formulas, and some solved aptitude problems.
Please comment below if you have any difficulty understanding this topic. And also, don't forget to share this post if you enjoyed learning about the quadrilateral mensuration formulas.
Please comment below if you have any difficulty understanding this topic. And also, don't forget to share this post if you enjoyed learning about the quadrilateral mensuration formulas.
Read also for all Mensuration shapes Area Formula.
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