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A rectangular plot of ground is 30 meters longer than it is wide it's area is 15000 square meters which equation will help me find the dimensions

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the plot: x meters wide and (x+30) meters long with an area of 15000 m^2. the equation you're searching for is:

x meters * (x+30) meters = 15000 m^2 or

x^2 + 30x m^2 = 15000 m^2 and

x^2 + 30x - 15000 = 0 <== that's the equation.

ans: x^2 + 30x - 15000 = 0

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