# math

A community park wants to place a rectangular billboard to inform guests of their new attractions. Suppose the length of the billboard to be placed is 5m longer than its width and the area is 500m2. What will be the length and the width of the billboard?

Let w be the width of the billboard

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1. L = w + 5

w * (w + 5) = 500

w² + 5 w - 500 = 0

factoring ... (w + 25) (w - 20) = 0

w = 20 ... L = 25

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