The difference between the lengths of the parallel sides of a trapezium is 8 cm, the perpendicular distance between these sides is 24 cm and the area of the trapezium is 312 cm?. Find the length of each of the parallel
sides.
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Let the length of the parallel side be x
The other parallel side is x + 8
Given the area = 312 cm² and the height = 24 cm
Solve x:
area = 1/2 (a + b) (h)
312 = 1/2 ( x + (x + 8) ) (24)
312 = 12( 2x + 8)
2x + 8 = 26
2x = 18
x = 9 cm
Find the length of the parallel sides:
one side = x = 9 cm
the other side = x + 8 = 9 + 8 = 17 cm
Answer: The length of the parallel sides ar 9 cm and 17 cm
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