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Question
The area of a trapezium is 475 cm2 and the height is 19 cm. Find the lengths of its two parallel sides if one side is 4 cm greater than the other.
Solution
Given: Area of a trapezium = 475 cm2 and Height = 19 cm.
According to the question, let one sides of trapezium is x. So, another side will be x + 4.
Now, Area of trapezium = `1/2` × (Sum of the parallel sides) × Height
`475 = 1/2 xx (x + x + 4) xx 19 cm`
`2x + 4 = 950/19 = 50`
2x = 50 – 4
2x = 46
x = 23
Therefore, the length of the parallel side of trapezium are x = 23 cm and x + 4 = 23 + 4 = 27 cm.
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