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Question

A $$3$$m wide path runs outside and around a rectangular park of length $$125$$m and breadth $$65$$m. Find the area of the path.

Solution
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Length of rectangular park$$=125$$m, breadth of rectangular park$$=65$$m and width of the path$$=3$$m

Length of rectangular park with path$$=125+3+3=131$$m
Breadth of rectangular park with path$$=65+3+3=71$$m

$$\therefore$$ Area of path $$ = $$ Area of park with path$$-$$Area of park without path
$$=(AB\times AD)-(EF\times EH)$$
$$=(131\times 71)-(125\times 65)$$
$$=9301-8125$$
$$=1,176m^2$$

Thus, area of path around the park is $$1,176m^2$$.

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