Question

the area of a trapezium is 4400m sq .it's parallel sides are 30m and 14 m the the distance between the parallel side will be
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Answer 1

Given :

• The area of a trapezium is 4400m sq .it's parallel sides are 30m and 14 m.

To Find :

• The distance between the parallel side = ?

Solution :

• Area of trapezium = 4400 m²
• Parallel sides of trapezium = 30 m and 14 m
• Height = ?

[Note : The distance between the parallel side = height of the trapezium ]

★ Finding the distance between the parallel sides :

→ Area of trapezium = ½ × (Sum of parallel sides) × Height

→ 4400 = ½ × (30 + 14) × Height

→ 4400 = ½ × 44 × Height

→ 4400 = 22 × Height

→ Height = 4400 ÷ 22

→ Height = 200 m

• Hence,the distance between the parallel sides is 200 m.

★ V E R I F I C A T I O N :

⇒ 4400 = ½ × (30 + 14) × Height

⇒ 4400 = ½ × 44 × 200

⇒ 4400 = 22 × 200

⇒ 4400 = 4400

LHS = RHS

Hence, Verified !

Answer 2

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Given :

• The area of a trapezium is 4400m sq .it's parallel sides are 30m and 14m.

To find :

• the distance between the parallel side ?

Solution :

Refer to the attachment