How do you find the area of 4 unequal sides?
The area of any irregular quadrilateral can be calculated by dividing it into triangles. Example: Find the area of a quadrilateral ABCD whose sides are 9 m, 40 m, 28 m and 15 m respectively and the angle between the first two sides is a right angle. The area of the quadrilateral ABCD =(180+126)=306 square meters.
What is a 4 sided shape with no equal sides called?
Explanation: Quadrilaterals are polygons with four sides (hence the beginning “quad”, which means “four”). A polygon with non-equal sides is called irregular, so the figure that you are describing is an irregular quadrilateral.
How do you find the area of a quadrilateral with unequal sides?
To find the area of such irregular quadrilaterals, follow a three-step strategy:
- Divide the quadrilateral into two triangles by constructing a diagonal that does not disturb the known interior angle.
- Calculate the area of each triangle, using formulas.
- Add the areas of the two triangles.
What is the area of polygons?
The area of a regular polygon can be found using the formula, Area = (number of sides × length of one side × apothem)/2.
What is the area of a polygon with 4 sides?
1 × Diag. 2)/2 or A = (d1 × d2)/2. Example: A four-sided shape has two adjacent sides with lengths of 4 meters. You can find the area of this square by multiplying its base times its height: 4 × 4 = 16 square meters.
How do you calculate the area of a regular polygon?
Know the correct formula. The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.
What is the formula for the area of a regular polygon?
Area of a regular polygon formulas. The most popular, and usually the most useful formula is the one that uses the number of sides n and the side length a: area = n * a² * cot(π/n) / 4.
What polygon has 4 sides all a different length?
Quadrilaterals are polygons with four sides (hence the beginning “quad”, which means “four”). A polygon with non-equal sides is called irregular, so the figure that you are describing is an irregular quadrilateral. This figure has side lengths of 1, 2, 3, and 4 respectively, so it is an irregular quadrilateral.
How do you find the perimeter of a polygon?
How to find the perimeter of a polygon. The perimeter of any polygon is the total distance around the outside, which can be found by adding together the length of each side. For example, a quadrilateral whose sides are 12,6,9 and 8, the perimeter is the sum of these, or: Perimeter = 12+6+9+8 = 35.