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A path 2 m wide around the outside of a square garden has an area of $136 m^{2}$ . What is the side of the garden?

Class 7Area of Paths and BordersPerimeter and Area

A15 m
B34 m
C17 m
D13 m

Step-by-Step Solution

If the side is

s

, the path =

(s + 4)^{2} - s^{2} = 8 s + 16

. So

8 s + 16 = 136, 8 s = 120, s = 15

m. Check:

1 9^{2} - 1 5^{2} = 361 - 225 = 136

✓.

Answer: A) 15 m

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