Table of Contents
What Is Quadrilateral
Quadrilateral is two-dimension shape that closed and has four sides. It come from latin words, “quadri” means four and “lateral” means sides.
The internal angle is 360°. In real life, there are many things that has quadrilateral shape. For example: table top, book, picture, kite, envelope, etc.
There are two of quadrilateral properties.
- It closed shape and has four sides
- Sum of all internal angles is 360°
Quadrilateral Family Tree
Types of Quadrilateral
Quadrilateral is general form of two-dimension shape. It has five types of quadrilateral:
The specific property of rectangle is it has four right angles. Beside that, the diagonals bisect each other and the opposite sides are parallel and equal.
The specific properties of rectangle are it has four same side (the opposite sides are parallel and equal), four right angles, and the diagonals bisect each other.
The properties of rhombus are all sides are equal and the opposites are parallel each other. But the angles are not 90°. It is the different property with square.
The properties of parallelogram are the opposite angles are equals, the opposite sides are equal and parallel, diagonals bisect each other, and sum of two adjacent angles is 180°.
It is also called as trapezium. It is quadrilateral that has one pair of parallel side. Another pair is called as lateral sides. In another words, the property of trapezoid is only one pair of parallel side that opposite each other.
Kite has two pairs of sides. Each pair is made of two equal-length sides that join each other. The others properties of kite are the angles that two pairs meet are equal, the diagonals bisect each other and it is right angles.
Area and Perimeter of Quadrilateral
There is table of area and perimeter of quadrilateral’s formula
|Rectangle||Length x Breadth(LxB)||2x(L+B)|
|Square||Side x side(sxs = s2)||4xs|
|Rhombus||½ x diameter1 x diameter2(½xd1xd2)||4xs|
|Parallelogram||Length x Breadth(LxB)||2x(L+B)|
|Trapezoid||½ x sum of lengths of all parallel sides x height(½ x (AB+CD)xh)||Sum of lengths of all sides(AB+BC+CD+AD)|
1. Dian wants to build a fence the garden that has square shape. But she wants the distance between garden and the fence is 0,5m. The side of Dian’s garden can be planted 5 trees that have 1m in distance between one tree to another. How many meters the fence that need to build?
Based on the problem, it can be illustrated
The length of garden is 4m, it is because there are 5 trees and the distance one tree t another is 1m.
Because of there is distance between garden and the fence, the length of fence is
4 + 0,5 + 0,5 = 5m.
So, the fence is
4 x length of each side = 4 x 5 = 20m.
2. Steve want to paint the wall. He wants to make trapezoid shape on the wall. The wall’s size is 3×4,5m. Each trapezoid has 27cm and 15cm on the parallel sides and 10cm on the lateral sides. Determine the remainder of the wall if he wants to make a trapezoid.
Wall’s area =3×4,5 = 13,5m2 = 1350cm2
Using Pythagoras to determine the height = 8 cm
Area of trapezoid = ½ (15+27).8 = 168 cm2
So, the remainder is = 1350 – 168 = 1182 cm2