Question

A rectangular garden is surrounded on its outside by 2m broad path. if area of the path is 464 square metres then what is the perimeter of the garden and 462

Answer 1

Answer:

A rectangular garden is surrounded on its outside by 2 m broad path. If area of the path is 464 square meter, then what is the perimeter of the garden?

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Consider the length and breadth of the garden be l and b respectively.

Since, it is surrounded by 2m wide path, the length and breadth of the larger rectangle (including path) becomes (l+4) and (b+4) respectively.

Now, we know area of path will be

Area of larger rectangle - area of smaller rectangle = 464 ( according to question)

So, (l+4) (b+4) - lb = 464

=> lb +4l + 4b + 16 - lb = 464

=> l +b = 112

Since, perimeter of rectangle is 2(l+b)

So, 2×112 = 224. Your answer.

Answer 2

Answer:

Step-by-step explanation:

Consider the length and breadth of the garden be l and b respectively.

Since, it is surrounded by 2m wide path, the length and breadth of the larger rectangle (including path) becomes (l+4) and (b+4) respectively.

Now, we know area of path will be

Area of larger rectangle - area of smaller rectangle = 464 ( according to question)

So, (l+4) (b+4) - lb = 464

=> lb +4l + 4b + 16 - lb = 464

=> l +b = 112

Since, perimeter of rectangle is 2(l+b)

So, 2×112 = 224. Your answer.

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