Question: Designing your Garden Bed with Leftover Bricks Materials: Leftover bricks: 92 bricks Each brick length: 7.2 inches Budget for additional materials: $150 Brick price (if

Designing your Garden Bed with Leftover Bricks Materials: Leftover bricks: 92 bricks Each brick length: 7.2 inches Budget for additional materials: $150 Brick price (if needed to buy more): $1.45 per brick Desired Shape: Rectangular garden bed Length (l) slightly more than twice the width (w) Ratio: l = 2.05w Solution: We will find the optimal width (w) and length (l) for your garden bed that maximizes the use of leftover bricks while staying within budget. Step 1: Calculate Available Brick Perimeter Total perimeter available with leftover bricks: 92 bricks 7.2 inches/brick = 662.4 inches Step 2: Find the Optimal Width (w) and Length (l) We will try different widths and see which combination uses the most bricks without exceeding the available perimeter or budget. Trial 1: Width (w) = 10 inches Length (l) = 2.05w = 2.05 10 inches = 20.5 inches (round up to 21 inches) Perimeter needed: 2l 2w = 2 21 inches 2 10 inches = 62 inches Number of bricks needed: 62 inches / 7.2 inches/brick = 8.61 bricks (round up to 9) Trial 2: Width (w) = 11 inches Length (l) = 2.05w = 2.05 11 inches = 22.55 inches (round up to 23

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