Ex. 5 A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?

Solution: Step 1 Draw a picture using x as the width of the pathway. Step 2 The width of the garden and pathway = 12 + x + x The length of the garden and pathway = 16 + x + x Step 3 Using Area = lw and Area = 285, set up the equation. (12 + 2x)(16 + 2x) = 285 Step 4 Solve for x: 192 + 56x + 4x2 = 285 4x2 + 55x - 93 = 0 Answer: The width of the pathway will be 1.5 meters. III Consecutive number problems In these types of problems, setting up the variables is critical. Let n = 1st integer Consecutive Consecutive Even Consecutive Odd n + 1 n + 2 n + 2 n + 2 n + 4 n + 4 Etc. etc. etc.

Ex. 5 A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?

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Ex. 5   A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters.  What will be the width of the pathway?