Quick Check Solution
1) Here is a sketch of the context: Setting up the equation: length \(\cdot\) width = total area \((2x + 18)(2x + 10) = 560\) \(4x^2 + 56x + 180 = 560\) Use the distributive property \(x^2 + 14x + 45 = 140\) Divide by \(4\) \(x^2 + 14x - 95 = 0\) Subtract \(140\) from both sides \((x - 5)(x + 19) = 0\) Factor \(x - 5 = 0\) or \(x + 19 = 0\) \(x = 5\) or \(x = -19\) Possible solutions Solution: \(5\) ft Back to Guided Learning |