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Question

A park square in shape has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metre. What is the perimeter along the outer edge of the road?

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Solution

given with of road =3m
assume Length of outer square is 4m
Then also Length of inner square is (n6)m
So area of roads =area of outer square- area of inner square
1764=n2(n6)2
1764=n2(n212n+36)
1764=12n36
12n=1800
n=150
So The perimeter of the park =4n
=4×150
=600 meter

1365036_1178398_ans_f7ae70b036284cce9a5dfe338279a125.png

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