Question

find the area of trapazium whose parallel sides are 3cm and 9 cm and distance between the two parallel side is 2.5 CM​

Answer 1

Answer :

• Area of the Trapezium, a = 15 cm²

Explanation :

Given :

• Parallel side of the Trapezium, p₁ = 3 cm
• Parallel side of the Trapezium, p₁ = 9 cm
• Distance between the two parallel side (i.e, p₁ and p₂), h = 2.5 cm

To find :

• Area of the Trapezium, a = ?

Knowledge required :

• Formula for area of a Trapezium :

⠀⠀⠀⠀⠀⠀⠀⠀⠀A = ½ × (p₁ + p₂) × h⠀

[Where : A = Area of the Trapezium, p₁ and p₂ are the two parallel sides of the Trapezium and h is the distance between the two parallel sides]

Solution :

By using the formula for area of a Trapezium and substituting the values in it, we get :

⠀⠀=> A = ½ × (p₁ + p₂) × h

⠀⠀=> A = ½ × (3 + 9) × 2.5

⠀⠀=> A = ½ × 12 × 2.5

⠀⠀=> A = 6 × 2.5

⠀⠀=> A = 15

⠀⠀∴ A = 15 cm²

Hence, the area of the Trapezium is 15 cm².

Answer 2

Answer ::

The area of trapezium is 15cm².

Step-by-step explanation ::

Formula used :-

• Area of trapezium = 1/2 × ( sum of all parallel sides ) × distance between them

To Find :-

• The area of trapezium

Solution :-

Given that,

• Length of parallel sides of trapezium are 3cm and 9cm
• Distance between them is 2.5cm

Figure,

• Refer the attachment.

As we know that,

Area of trapezium = 1/2 × ( a + b ) × h

Where,

• a and b are the two parallel sides of trapezium
• h is the height of trapezium

According the question,

↪1/2 × ( 3 + 9 ) × 2.5

↪1/2 × 12 × 2.5 . . . dividing 12 and 2 with 2

↪1 × 6 × 2.5

↪6 × 2.5

↪15

The area of trapezium is 15cm².

Additional information

Some important concepts related to trapezium :-

• Area of trapezium = 1/2 × ( a + b ) × h
• Perimeter of trapezium = Sum of all sides of trapezium
• Trapezium is a 2d [ two-dimensional ] shape.