1. **Problem Statement:** Calculate the lengths $p$ and $q$, the perimeter, and the area of an L-shaped plot of land with given segment lengths. Then find the maximum number of banana suckers that can be planted, each requiring 5 m². 2. **Given:** Horizontal segments: 45 m, 27 m, and $p=35$ m. Vertical segments: 28 m, 9 m, and $q$ unknown. 3. **(a)(i) Length of $p$:** Given as 35 m. 4. **(a)(ii) Length of $q$:** The total vertical length on the left is $28 + 9 = 37$ m. The vertical length on the right side, $q$, equals the total vertical length minus the shorter vertical segment on the left side. Since the plot is L-shaped, $q = 28 + 9 = 37$ m. 5. **(a)(iii) Perimeter:** Sum all outer sides. Horizontal sides: $45 + 27 + 35 = 107$ m. Vertical sides: $28 + 9 + q = 28 + 9 + 37 = 74$ m. Perimeter $= 107 + 74 = 181$ m. 6. **(a)(iv) Area:** The L-shape can be divided into two rectangles. Rectangle 1: $45 imes 28 = 1260$ m². Rectangle 2: $27 imes 9 = 243$ m². Total area $= 1260 + 243 = 1503$ m². 7. **(b) Maximum banana suckers:** Each requires 5 m². Maximum number $= \left\lfloor \frac{1503}{5} \right\rfloor = 300$ suckers. **Final answers:** (i) $p = 35$ m (ii) $q = 37$ m (iii) Perimeter $= 181$ m (iv) Area $= 1503$ m² (b) Maximum banana suckers $= 300$