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?

Question

Let w be the width of the billboard

Answer 1

L = w + 5

w * (w + 5) = 500

w² + 5 w - 500 = 0

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

w = 20 ... L = 25