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

To find the length of each side of the rectangle formed by given coordinates, we can calculate the distance between the relevant points. For the first rectangle formed by points D(1,2), E(1,7), F(4,7), and G(4,2): - Side DE (vertical): Distance from D(1,2) to E(1,7) = |7 - 2| = 5 units. - Side DG (horizontal): Distance from D(1,2) to G(4,2) = |4 - 1| = 3 units. For the second rectangle formed by points Q(0,0), R(4,0), S(4,4), and T(0,4): - Side QR (horizontal): Distance from Q(0,0) to R(4,0) = |4 - 0| = 4 units. - Side QS (vertical): Distance from Q(0,0) to S(4,4) = |4 - 0| = 4 units. Now, to find the perimeter of each rectangle, we use the formula for the perimeter of a rectangle, which is P = 2(length + width). 1. For rectangle DEFG: Perimeter = 2(length + width) = 2(5 + 3) = 2(8) = **16 units**. 2. For rectangle QRST: Perimeter = 2(length + width) = 2(4 + 4) = 2(8) = **16 units**. So, both rectangles have a perimeter of **16 units** each!