Question

find the
area of a trapezium whose parallel sides area
5cm and 24cm
and the
distance between them is 10 cm​

Answer 1

Step-by-step explanation:

area of trapezium = 5×10 + 1/2×19×10

= 50 + 95

= 145cm²

Answer 2

Answer :

• Area of the Trapezium whose parallel sides are 5 cm and 24 cm and the distance between them is 10 cm is 145 cm².

Explanation :

Given :

• Parallel side of the Trapezium, p = 5 cm
• Parallel side of the Trapezium, p' = 24 cm
• Distance between the parallel sides of the Trapezium, h = 10 cm

To find :

• The area of the Trapezium, A = ?

Knowledge required :

Formula for area of the trapezium :

⠀⠀⠀⠀⠀⠀⠀⠀⠀A = ½ × (p + p') × h

Where :

• A = Area of the Trapezium
• p = Parallel side of the Trapezium
• p' = Parallel side of the Trapezium
• h = Distance between the parallel sides of the Trapezium.

Solution :

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

⠀⠀=> A = ½ × (p + p') × h

⠀⠀=> A = ½ × (5 + 24) × 10

⠀⠀=> A = ½ × 29 × 10

⠀⠀=> A = ½ × 290

⠀⠀=> A = 145

⠀⠀⠀⠀⠀∴ A = 145 cm²

⠀⠀

Therefore,

• The area of the Trapezium, A = 145 cm².