#### 131. A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 64 meters, what is the area of the garden?
["### 131. How to Calculate the Area of a Rectangular Garden with Length 3× Width and Perimeter 64 Meters", "If you're looking to determine the area of a rectangular garden where the length is three times its width and the perimeter is 64 meters, you’ve come to the right place. This practical geometry problem is a common example in math lessons and home planning. Let’s break it down step by step to find the garden’s area efficiently.", "---", "#### Understanding the Problem", "You’re told:\n- The garden is rectangular.\n- The length ((L)) is 3 times the width ((W)):\n [\n L = 3W\n ]\n- The perimeter is 64 meters:\n [\n P = 64, \ ext{m}\n ]", "The goal is to find the area ((A)) of the garden, given by:\n[\nA = L \ imes W\n]", "---", "#### Step 1: Use the Perimeter Formula", "For a rectangle, the perimeter is given by:\n[\nP = 2(L + W)\n]\nSubstitute (L = 3W) and (P = 64):\n[\n64 = 2(3W + W) = 2(4W) = 8W\n]", "---", "#### Step 2: Solve for Width", "Divide both sides by 8:\n[\nW = \frac{64}{8} = 8, \ ext{meters}\n]", "---", "#### Step 3: Find the Length", "Since (L = 3W):\n[\nL = 3 \ imes 8 = 24, \ ext{meters}\n]", "---", "#### Step 4: Calculate the Area", "Now multiply length by width:\n[\nA = L \ imes W = 24 \ imes 8 = 192, \ ext{square meters}\n]", "---", "#### Conclusion", "A rectangular garden with a length 3 times its width and a perimeter of 64 meters has an area of 192 square meters. This calculation helps in garden planning, landscaping, or construction—proving that geometry is essential in everyday life.", "---", "Keywords: rectangular garden area, perimeter and area calculator, rectangular garden dimensions, 3 times width rectangle, geometry problem solution, how to find garden area, mathematical problem 131.", "Meta Description: Discover how to calculate the area of a rectangular garden where length is 3 times the width and the perimeter is 64 meters. Step-by-step solution included."]
