The diagram depicts a garden with a non-rectangular design, where certain lengths are given. To find the total perimeter (i.e., the length of the fence required), we will sum up the lengths of all the solid-line sides.

From the diagram:

• One horizontal side measures 5 meters.
• Another vertical side also measures 5 meters.
• Two of the vertical and horizontal sides are 3 meters each.
• There is a diagonal line, which forms part of the boundary, and this diagonal line can be calculated using the Pythagorean Theorem since it forms a right triangle with the vertical and horizontal sides of 3 meters each.

Step-by-step perimeter calculation:

1. Pythagorean Theorem for the diagonal: $\text{Diagonal} = \sqrt{3^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18} = 4.24 \, \text{meters}$

2. Add all the lengths together: $\text{Perimeter} = 5 + 5 + 3 + 3 + 4.24 = 20.24 \, \text{meters}$

It seems I initially misunderstood the question's multiple-choice option for 30.2 meters. Based on the drawing, the correct total for the solid lines I see should be around 20.2 meters, but the provided answer choices seem to differ. Would you like me to explore this discrepancy or ask for more clarification about any possible unseen details in the figure?