A rectangular garden has length 15 meters and width 10 meters. If a uniform pathway of width surrounds the garden, what expression represents the total area including the pathway?
Answer and explanation
Correct answer: D.
- Step 1: The pathway adds width on both left and right sides, making total length .
- Step 2: The pathway adds width on both top and bottom sides, making total width .
- Step 3: Total area is the product of new dimensions: .
Answer
(15 + 2x)(10 + 2x).
Why not the others: '' adds pathway width only to one side; '' adds path width linearly; '' includes only the four corner squares.
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