the area of the trapezium is 105 CM square and its height is 7 cm if one of the parallel sides is three times the other find the two parallel sides.
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Step-by-step explanation:
Let the side 'x'
Area of trapezium = 1/2 x sum of parallel sides x height
105 = 1/2 x (x +x+6) x 7
105/7 = 1/2 x ( 2x +6)
15 x 2 = 2x + 6
30 = 2x + 6
30 - 6 = 2x
24 = 2x
Hence, x = 12 cm .
=> x = 12 cm
=> x+6 = 12+6= 18 cm.
=> The length of one side is 12 cm.
=> The length of second side is 18 cm.
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