1. **Problem statement:** Jon is tiling a 2-foot wide border around a bathtub that measures 5 feet by 3 feet. Each tile measures 4 inches by 4 inches. We need to find the minimum number of tiles Jon needs. 2. **Step 1: Calculate the outer dimensions of the tiled area.** - The border is 2 feet wide around the tub, so add 2 feet on each side. - Outer length = $5 + 2 \times 2 = 5 + 4 = 9$ feet. - Outer width = $3 + 2 \times 2 = 3 + 4 = 7$ feet. 3. **Step 2: Calculate the area of the outer rectangle (bathtub + border).** - Outer area = $9 \times 7 = 63$ square feet. 4. **Step 3: Calculate the area of the bathtub (inner rectangle).** - Inner area = $5 \times 3 = 15$ square feet. 5. **Step 4: Calculate the area of the border only.** - Border area = Outer area $-$ Inner area = $63 - 15 = 48$ square feet. 6. **Step 5: Convert tile dimensions to feet.** - Each tile is 4 inches by 4 inches. - Since 12 inches = 1 foot, tile side in feet = $\frac{4}{12} = \frac{1}{3}$ feet. 7. **Step 6: Calculate the area of one tile.** - Tile area = $\left(\frac{1}{3}\right) \times \left(\frac{1}{3}\right) = \frac{1}{9}$ square feet. 8. **Step 7: Calculate the number of tiles needed.** - Number of tiles = $\frac{\text{Border area}}{\text{Tile area}} = \frac{48}{\frac{1}{9}} = 48 \times 9 = 432$ tiles. **Final answer:** Jon needs a minimum of **432 tiles** to cover the 2-foot border around the bathtub.