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the ratio of the parralel side of a trapezium is 2 : 3 . The distance between them is 15 CM. If the area of the trapezium is 600 m² , find the length of the parallel side.
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the sides are:2x=2*16=32
3x=3*16=48
its your answer
please don't mind the hand writ
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• Correct Question
• The ratio of the parallel side of a trapezium is 2 : 3 . The distance between them is 15 m. If the area of the trapezium is 600 m² , find the length of the parallel side.
• Given
- Ratio of the parallel sides of a trapezium = 2 : 3
- Distance between the parallel sides = 15 m
- Area of trapezium = 600 m²
• To find
- Length of the parallel side
• Solution
Let the parallel sides of trapezium be 2x and 3x.
Area of trapezium = 1/2 × sum of parallel sides × distance between the parallel sides
⇒ 600 = 1/2 × (2x + 3x) × 15
⇒ 600 = 1/2 × 5x × 15
⇒ 600 = 37.5x
⇒ 600/37.5 = x
⇒ x = 16
The value of x = 16
The length of parallel sides of trapezium -
- 2x = 2 × 16 = 32 m
- 3x = 3 × 16 = 48 m
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