In a parallelogram whose area is 15, the base is represented by x+7 and the altitude x-7. Find the base of parallelogram.
1 answer:
Area = (base)*(height) 15 = (x+7)(x-7) (x+7)(x-7) = 15 x^2 - 49 = 15 x^2 - 49+49 = 15+49 x^2 = 64 sqrt(x^2) = sqrt(64) x = 8 ... note that x can't be negative If x = 8, then the base is... x+7 = 8+7 = 15Therefore the base is 15 units. (the height is x-7 = 8-7 = 1 unit)
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