7. The difference of the parallel sides of a trapezoidal field is 20 m. Its area is 450 m² and its altitude is 15 m.
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Step-by-step explanation:
Let one parallel side be x, then the other will be x + 20
Area = 1/2 * Altitude * sum of parallel sides
450 = 1/2 * 15 * (x+x+20)
450 = 15/2 * (2x + 20)
450 = (15/2)*2(x+10)
x + 10 = 450/15 = 30
x = 30 - 10 = 20
x + 20 = 20 + 20 = 40
So the parallel sides are 20 m and 40 m
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