etch an area model for each exercise. \begin{tabular}{l}\( 28 \times 45 \) \\ \( \times 28 \) \\ \hline 45\end{tabular}

To create an area model for \(28 \times 45\), you can break down the numbers into more manageable parts. Start by splitting \(28\) into \(20\) and \(8\), and \(45\) into \(40\) and \(5\). This gives you a 2x2 grid: 1. Top left box: \(20 \times 40 = 800\) 2. Top right box: \(20 \times 5 = 100\) 3. Bottom left box: \(8 \times 40 = 320\) 4. Bottom right box: \(8 \times 5 = 40\) Now, add all the areas together: \(800 + 100 + 320 + 40 = 1260\). So, \(28 \times 45 = 1260\). Now, for the secondary calculation of \(28 \times 28\), use the same process. Again, split \(28\) into \(20\) and \(8\): 1. Top left box: \(20 \times 20 = 400\) 2. Top right box: \(20 \times 8 = 160\) 3. Bottom left box: \(8 \times 20 = 160\) 4. Bottom right box: \(8 \times 8 = 64\) Add these areas: \(400 + 160 + 160 + 64 = 784\). Thus, \(28 \times 28 = 784\).