➡️♠️_ the area of trapezium is 360 cm² its parallel sides are in ratio 2:3 and perpendicular distance between them is 12 cm find the length of each of parrallel sudes _♠️➡️
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★ Let parallel sides of the trapezium be 2x and 3x respectively.
Given ,
• Area of the trapezium = 360 cm²
• Distance between parallel sides = 12 cm.
We know that ,
☞ Area of trapezium = 1/2 × (sum of parallel sides) × (distance between parallel sides)
*Substituting the values ,
360 = 1/2 × (2x + 3x) × 12
→ 360 × 2 = 5x × 12
→ 720 = 60x
→ x = 720/60
→ x = 12
Hence ,
★ Length of parallel sides ~
→ 2x = 2×12 = 24 cm.
and → 3x = 3 × 12 = 36cm.
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