This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define variables and write down the given information. Let W be the width of the rectangular garden. Let L be the length of the rectangular garden. From the problem, the length is 3 yards more than its width: L = W + 3 The perimeter of the garden is 38 yards: P = 38 Step 2: Write the formula for the perimeter of a rectangle. The perimeter P of a rectangle with length L and width W is given by: P = 2(L + W) Step 3: Substitute the expressions for L and P into the perimeter formula. Substitute L = W + 3 and P = 38 into the formula: 38 = 2((W + 3) + W) Step 4: Simplify and solve the equation for W. First, combine the terms inside the parentheses: 38 = 2(2W + 3) Divide both sides by 2: (38)/(2) = 2W + 3 19 = 2W + 3 Subtract 3 from both sides: 19 - 3 = 2W 16 = 2W Divide both sides by 2: W = (16)/(2) W = 8 The width of the garden is 8 yards. That's 2 down. 3 left today — send the next one.