Area Formula for Quadrilaterals

A quadrilateral is a closed figure that has four sides in it. The interior angles add up to 360 degrees. Also, the opposite sides are parallel and opposite angles are equal. Quadrilaterals can be classified into different types some of them are square, rectangle, parallelogram, rhombus and trapezoid. Five different formulas are used to calculate the area of the quadrilateral.

In parallelogram adjacent sides are of unequal lengths and angles are oblique (not right angles). A rectangle all four angles are right angles. An equivalent condition is that the diagonals bisect each other and are equal in length.

Area of Quadrilaterals Formula

Area Formulas of Quadrilaterals

Quadrilateral Area Formulas
Area of a Square Square Area = (side)2
Area of a Kite Kite Area = (1 ⁄ 2) × Diagonal
Area of a Parallelogram Parallelogram Area = Base × Height
Area of a Rectangle Rectangle Area = Base × Height
Area of a Trapezoid Trapezoid Area = \(\frac{base_{1}\,+\,base_{2}}{2}\times height\)

Solved Example For Quadrilateral Formula for Area

Question 1: Find the area of a trapezoid with bases of 11 inches and 12 inches, and a height of 5 inches. Solution:

Given b1= 11 inches

b2 = 12 inches

h = 5 inches

Area of Trapezoid = \(\frac{base_{1}+base_{2}}{2}\times Hieght = \frac{11+12}{2} \times 5\)

= \(\frac{23}{2}\times 5 = 57.5 in^{3}\)

Practise This Question

Identify the labelled parts in the given image.