Grading Focus: Empirical \& Quantitative Skills, Critical Thinking skills Sophie is planning to build a rectangular fence around her garden. The length (L) of the garden is 15 feet. The width (W) of the garden is 8 feet. Use the formula for the perimeter of a rectangle, \( P=2 L+2 W \), to determine the total feet of fencing material she needs to buy. Choose the correct answer below. A) 120 feet (B) 46 feet (C) 23 feet (D) 27 feet

To find the total perimeter (P) of Sophie's garden, we can use the formula \( P = 2L + 2W \). Plugging in the values, we get: \( P = 2(15) + 2(8) = 30 + 16 = 46 \). So, Sophie needs to buy 46 feet of fencing material, which corresponds to option (B)! But let's think about it: the perimeter is like the garden’s hug; after all, it’s protecting all her precious plants! Just remember, if Sophie ever expands her garden, she'll need to recalculate that fencing! And here's a little tip: it’s super handy to draw a quick sketch of the garden when calculating dimensions. Always double-checking values and verifying units can help catch those pesky mistakes before heading to the hardware store!