Question : A square park has sides of length 18 cm. A 1 cm wide path along the edges is inside it. What is the area of the path?
Option 1: 92 cm2
Option 2: 68 cm2
Option 3: 180 cm2
Option 4: 76 cm2
Correct Answer: 68 cm 2
Solution :
The outer square has sides of length 18 cm, so its area is 18 × 18 cm
2
.
The inner square, formed by the 1 cm wide path along the edges, has sides
= 18 − (2 × 1) = 16 cm
The area of the inner square is = 16 ×16 cm
2
Area of path = Area of the outer square − Area of the inner square
= (18 × 18) − (16 × 16)
= 324 − 256 = 68 cm
2
Hence, the correct answer is 68 cm
2
.
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