Question

Find the area of trapezium whose parallel sides are of length 3cm and 9cm, and the distance between the two parallel sides is 2.5cm​

Answer 1

Answer:

Given: Length of parallel sides are 9cm and 5cm

Height =8cm

Area of trapezium=

2

1

× Height ×(Sum of parallel sides)

=

2

1

×8cm×(9+5)cm

=

2

8+14

cm

2

=56cm

2

.

Answer 2

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.

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