E-EQ04 · An exact geometric model
A rectangle has length 8 cm greater than its width and area \(45\text{ cm}^2\). Let its width be \(w\) cm.
Form a quadratic equation for \(w\), and state the physical restriction on \(w\).
Find the exact width and length.
The width is increased by 2 cm and the length decreased by 2 cm. Find the new area exactly, without decimal approximations.
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