the parallel sides of a trapezium measure 14cm and 22cm .calculate its area ,if the distance between the parallel lines in 15cm??
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Answer:
Step-by-step explanation:
Given that,
Parallel sides of a trapezium are 14 cm and 22 cm
The distance between two parallel sides is 15 cm
the formula used to find the area of trapezium is given by :
Substituting their values, we get
Therefore, the area of the trapezium is 270 cm²
Answered by
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Given:
- The parallel sides of a trapezium measure 14cm and 22cm.
- The distance between the parallel lines in 15cm.
To find:
- Area of trapizium?
Solution:
• Let's consider ABCD is a trapizium.
Where,
- Parallel sides = 14cm & 22cm
- Height = 15cm
• Let height of the trapizium be h.
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Let's find area of trapizium,
→ Area = 1/2 × (Sum of paralel sides) × h
→ 1/2 × (14 + 22) × h
→ 1/2 × 36 × 15
→ 18 × 15
→ 270cm²
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
∴ Hence, Area of the trapizium is 270cm².
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