the area of a trapezium is 475sqcm and the height is 19cm. Find the length of the parallel sides, if one side is 4cm greater than the other.
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Area of trapezium = 1/2 (a + b) h
Given that one side is 4cm greater than the other
⇒ Let one side be x and the other side be x + 4
Solve for x:
475 = 1/2 (x + (x + 4) ) (19)
475 = 19/2 (2x + 4)
2x + 4 = 50
2x = 46
x =23
Find the two length:
One side = 23 cm
The other side = 23 + 4 = 27 cm
Answer: 23 cm and 27 cm
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