Question

calculate the area of a trapazium whose parallel sides are 9 cm and 16 cm and distance between these sides is 8 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.

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