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Which path is larger: a 1 m path around the OUTSIDE of a 10 m × 10 m lawn, or a 1 m path along the INSIDE of an 11 m × 11 m lawn?

Class 7Area of Paths and BordersPerimeter and Area

ABoth are equal
BCannot tell
CThe outside path
DThe inside path

Step-by-Step Solution

Outside:

1 2^{2} - 1 0^{2} = 144 - 100 = 44 m^{2}

. Inside:

1 1^{2} - 9^{2} = 121 - 81 = 40 m^{2}

. The outside path is larger.

Answer: C) The outside path

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