Question

The length and breadth of a rectangular park are in the ratio 8:5.A path1.5m wide,running all around the outside of the park has an area of 594metre sq.Find the dimension of the park

Answer 1

Answer:

Length of the park is 120 m and Breadth is 75m.

Step-by-step explanation:

Let the length and the breadth of the park be 8x and 5x m respectively.

Since, the path is around the outside of the park,

Area of path = 2d(l + b + 2d) [This is the formula to find the area,if path is inside we use 2d(l + b - 2d)

or, 594 = 2x 1.5(8x + 5x + 2 x 1.5) [put the values]

or, 594 = 3(13x + 3)

or, 594 = 39x + 9

or, 594 - 9 = 39 x

or, 585 = 39 x

or, 585/39 = x

or, 15 = x

Now,

Length = 8x = 8 x 15m = 120 m

Breadth = 5x = 5 x 15m = 75 m

Answer 2

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