the area of a trapezium is 168cm^2 and its height 8cm if one of the parallel sides is longer than the other by 6cm, find the length of each of the parallel sides
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Define x:
Let x be the shorter of the parallel lines
The other parallel lines = x + 6
Solve x:
Area of a trapezium = 1/2 (a + b) x h
168 = 1/2 (x + (x + 6) ) (8)
168 = 4(2x + 6)
42 = 2x + 6
2x = 36
x = 18 cm
Find the length of the parallel sides:
one side = x = 18 cm
the other side = x + 6 = 18 + 6 = 24 cm
Answer: The length of the parallel sides are 18 cm and 24 cm
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