s = \sqrt{64} = 8 \text{ units}

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• Therefore, the length of the altitude is \(\boxed{12 \text{ cm}}\).
• A square has an area of \(64\) square units. If each side length is increased by \(50\%\), what is the new area of the square?
• The area of the original square is \(64\) square units, so each side length \(s\) is:
• Increasing each side by \(50\%\) gives a new side length:
• s_{\text{new}} = 8 + 0.5 \times 8 = 1.5 \times 8 = 12 \text{ units}
• The new area is:

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