P = a+b+c+d

A = ((a+c)*v)/2

A = area

P = perimeter

a =side "a"

b = side "b"

h = height

A trapezoid, also known as a trapezium in some regions, is a four-sided polygon, or quadrilateral, with at least one pair of parallel sides. The parallel sides are referred to as the bases, while the non-parallel sides are called the legs. Trapezoids can be classified into different types: isosceles trapezoid, where the non-parallel sides (legs) are of equal length and the base angles are equal; right trapezoid, where one of the legs is perpendicular to the bases, forming two right angles; and scalene trapezoid, where the non-parallel sides and the base angles are not equal. The area of a trapezoid can be calculated using the formula: Area = 1/2 * (Base1 + Base2) * Height, where Base1 and Base2 are the lengths of the parallel sides, and Height is the perpendicular distance between the bases. Trapezoids are commonly found in geometry and have various applications in architecture and engineering.

The sides of the trapezium are, for example, a is 8 cm, b is 3 cm, c is 6 cm, d is 2 cm, height v is 4 cm.

Thus

a = 8, b = 3, c = 6, d = 2, v = 4

**perimeter of the trapezium:**

We use the formula

C = a + b + c + d

thus

C = 8 + 3 + 6 + 2

C = 19 cm

**area of the trapezium:**

We use the formula

A = ((a + c) * v) / 2

thus

A = ((8 + 6) * 4) / 2

A = 28 cm²

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