Question**: Sarah has a rectangular garden that is 12 meters long and 8 meters wide. She wants to put a fence around the entire garden. If fencing costs $15 per meter, how much will she spend on the fence?
["How Much Will Sarah Spend on Fencing Her Rectangular Garden?", "Sarah has recently purchased a rectangular garden measuring 12 meters in length and 8 meters in width. To protect her plants and define the space, she wants to install a fence around the entire perimeter. With fencing materials costing $15 per meter, understanding the total cost becomes essential before breaking ground.", "### Step-by-Step: Calculating the Total Fencing Cost", "To determine how much Sarah will spend, we first need to calculate the perimeter of her garden. Since the garden is rectangular, the formula for perimeter is:", "[\n\ ext{Perimeter} = 2 \ imes (\ ext{Length} + \ ext{Width})\n]", "Substituting the given dimensions:", "[\n\ ext{Perimeter} = 2 \ imes (12,m + 8,m) = 2 \ imes 20,m = 40,m\n]", "So, Sarah needs 40 meters of fencing to enclose her garden completely.", "### Cost Breakdown", "Fencing costs $15 per meter. Multiplying the total length by the price per meter gives:", "[\n\ ext{Total Cost} = 40,m \ imes 15,~$/\ ext{m} = 600~$\n]", "### Conclusion", "Sarah will spend $600 to fence her entire rectangular garden. This investment ensures her plants stay safe while adding both functionality and value to her outdoor space. Properly calculating the perimeter before purchasing materials helps avoid waste and ensures a smooth, budget-friendly project."]
