the area of trepizium is 165cm square and height is 15 cm. one of the parallel sides os longer than the other by 10 cm. find the two parellel sides.
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the length of other side is 12 cm
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Total area = 165 cm²
½(Sum of parallel sides)×height = 165 cm²
Height = 15 cm
Let first parallel side = x
Second parallel side 10+x
Sum of parallel sides = 10+x+x
½(10+x+x)×15 = 165
10+2x = 165×2/15
10+2x = 11×2
2x = 22-10
x = 12/2
x = 6 cm
First parallel side = 6 cm
Second parallel side = 6+10 = 16 cm
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