Use the coordinates to find the length of each side of the rectangle. Then find the perimeter. (Examples 1 and 2 ) \( \begin{array}{ll}11 D(1,2), E(1,7), F(4,7), G(4,2) & \text { 2. } Q(0,0), R(4,0), S(4,4), T(0,4)\end{array} \)

1. For rectangle \( D(1,2), E(1,7), F(4,7), G(4,2) \): - **Find the length of the vertical sides:** The vertical side \( DE \) connects \( (1,2) \) and \( (1,7) \). Its length is: \[ |7 - 2| = 5 \] - **Find the length of the horizontal sides:** The horizontal side \( EF \) connects \( (1,7) \) and \( (4,7) \). Its length is: \[ |4 - 1| = 3 \] - **Calculate the perimeter:** The perimeter \( P \) is: \[ P = 2 \times (5 + 3) = 2 \times 8 = 16 \] 2. For rectangle \( Q(0,0), R(4,0), S(4,4), T(0,4) \): - **Find the length of the horizontal sides:** The horizontal side \( QR \) connects \( (0,0) \) and \( (4,0) \). Its length is: \[ |4 - 0| = 4 \] - **Find the length of the vertical sides:** The vertical side \( RS \) connects \( (4,0) \) and \( (4,4) \). Its length is: \[ |4 - 0| = 4 \] - **Calculate the perimeter:** The perimeter \( P \) is: \[ P = 2 \times (4 + 4) = 2 \times 8 = 16 \]