# Quadrilateral properties, shortcut formulas and aptitude question

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 quantitive aptitude section. It is same important as Triangle, Circle and some other mensuration chapters. Here, we are going to inform you the quadrilateral properties, shortcut formula, aptitude question and easy solution by math tricks.
What is quadrilateral? The quadrilateral is a figure which has made by four arms and having four angles. There are many types of quadrilateral figures we found. So, we have to get the clear idea of each quadrilateral figure and shortcut formula to solve aptitude question related to the quadrilateral mensuration. Here, we are going to discuss the properties and shortcut mensuration formulas one by one.

Mensuration formulas of the square:- Square one of the important part of the quadrilateral. It is mainly four equal-arms and Angeles figure. where all angels are the right angels.

### The formula for the perimeter, area and diagonal of the square

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 multiply an arm by four because of all sides is equal.
Formula for the area of Square:-
As we know that all arms are equal to the square. So, you can calculate 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 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.

Above, we describe all formulas to find out the area, perimeter and arm length by knowing the diagonal length. Examiner always asks perimeter, area and side length by giving the length of diagonal of a square. Here, we used the Pythagorean theorem to find the hypotenuse of a triangle. As you know that 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.

• Opposite arms are equal and parallel.
• All angels are the same and right angle.
• Rectangular has two equal diagonals and bisect each other equally.
• All square are Rectangular.

### Mensuration shortcut formulas of Rectangular

The perimeter of a rectangular is the sums of all outer lines(arms). As opposite arms are equal, so we can calculate the perimeter of rectangular by the formula 2(length+base).
Area of a rectangular =(lenght*Base)
Diagonal of a rectangular:- To calculate diagonal of rectangular you can use the Pethegoius formula. Because diagonal of rectangular divide it into two equal triangles. And diagonal become the common hypotenuse of two triangles. As per the Petthegoius formula hypotenuse is

To use this formula in rectangular, length will be length and hight will be the base of the rectangular.
In the next tutorial, we will apply all formulas which are maintained on this topic. After then we will give you a few more kind of quadrilateral properties, shortcut formula and some solved aptitude problems.

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Read also for all Mensuration shapes Area Formula