Question

The parallel sides of a trap ezium are 26cm
and 3 cm . its altitude is 21cm , then find
the area of the trapezium.​

Answer 1

Given :

• Parallel sides of trapezium = 26 cm and 3 cm
• Height of trapezium = 21 cm

To find :

• Area of trapezium

Knowledge Required :-

→ Formula to calculate area of trapezium :-

• Area of trapezium = ½ × sum of parallel sides × distance between them

Solution :

→ Area = 1/2 × (26 + 3) × 21

→ Area = 1/2 × 29 × 21

→ Area = 609/2

→ Area = 304.5

Area of trapezium = 304.5 cm²

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Know MorE :-

More about Trapezium -

• A trapezium has four sides, four angles.
• The sum of angles of trapezium is equal to 360°.
• It has two parallel sides and two non - parallel sides.
• In a regular polygon, the diagonals bisect each other.

Answer 2

Given :

• First Parallel Side = 26cm
• Second Parallel Side = 3cm
• Height of Trapezium = 21cm

To Find :

• Area of Trapezium

Solution :

❏ As we know that, Area of Trapezium is given by [ Area of Trapezium = ½ × Height × ( Sum of Parallel Sides ) ]

⠀

Putting the Values :

➟ Area = ½ × Height × (S1 + S2)

➟ Area = ½ × 21 × (26 + 3)

➟ Area = ½ × 21 × 29

➟ Area = ½ × 609

➟ Area of Trapezium = 304.5cm²

Thus Area of Trapezium is 304.5cm²

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★ Additional Info :

Formulas Related to Area:

• Area of Square = Side x Side
• Area of Rectangle = Length × Breadth
• Area of Triangle = ½ × base x height
• Area of parallelogram = base x height
• Area of circle = πr²
• Area of Rhombus = ½ × product of its diagonals
• Area of Trapezium = ½ × height × sum of parallel sides
• Area of Polygon = sum of the area of all regions into which it is divided

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