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Quad means 4, lateral means side. Quadrilateral ABCD is a polygon with 4 sides AB - BC - CD - DA, where no two sides lie on the same straight line. The sum of angles in a quadrilateral is 360 degrees. Different types of quadrilaterals have different area calculation formulas. It's crucial to identify the type and apply the right formula.
Formula for Quadrilateral Area Calculation
QUADRILATERAL AREA CALCULATION METHOD
According to this definition, there are various types of quadrilaterals, such as convex and concave quadrilaterals, regular quadrilaterals, irregular quadrilaterals, and more. Convex quadrilaterals include shapes like square, rectangle, rhombus, trapezoid, parallelogram, and any other quadrilateral.... Specific area calculation methods for various cases are as follows:
+ Square: A convex quadrilateral with 4 equal sides and 4 right angles.
Area (S) = side x side = side^2
S: Area of the square
a: Length of the side
+ Rectangle: A convex quadrilateral with 2 pairs of opposite sides equal and 4 right angles.
Area (S) = length x width
S: Area of the rectangle
a: Length
b: Width
+ Parallelogram: A convex quadrilateral with two pairs of opposite sides parallel and equal.
Area (S) = base x height
S: Area of the parallelogram
a: Base of the rhombus
h: Height of the rhombus
+ Rhombus: A parallelogram with 4 equal sides.
Area (S) = 1⁄2 (d1 x d2)
S: Area of the rhombus
d1, d2: Lengths of the diagonals
You can also calculate the area of a rhombus using the method for calculating the area of a parallelogram.
+ Trapezoid: A convex quadrilateral with one pair of parallel sides.
Area (S) = 1⁄2 (a+b) x h
S: Area of the trapezoid
a,b: Lengths of the two parallel sides
h: Height
+ Irregular Quadrilateral:
To calculate the area of an irregular quadrilateral not falling into the mentioned cases, find the lengths of its 4 sides (let's say a, b, c, d, where a and c, b and d are opposite sides). Then, calculate the two opposite angles. If, in this case, we know the angle between sides a and b (Angle A) and the angle between sides c and d (Angle B), the formula for the area of the quadrilateral will be:
S = 1⁄2 (a x d) x SinA + 1⁄2 (b x c) x SinC
So, here, Mytour.vn has shared with you how to calculate the area of a quadrilateral. Depending on the specific problem and the shape of the quadrilateral, choose the most suitable formula for your solution.
https://Mytour.vn/cach-tinh-dien-tich-tu-giac-25357n.aspx
Additionally, we also update the calculation of parallelogram area, right trapezoid area, etc. Feel free to refer and enhance your knowledge.
