There is a rectangular path just inside a rectangular park. Width of the path is 2 cm 2 \text{ cm} 2 cm . If length of the park is decreased by 4 cm 4...

Question

There is a rectangular path just inside a rectangular park. Width of the path is 2 cm2 \text{ cm}. If length of the park is decreased by 4 cm4 \text{ cm}, then it becomes a square. Area of the rectangle is 13\frac{1}{3} times the area of the path.

From the above given information which of the following can be found out?

(i) Area of path

(ii) Length of the park

(iii) Sum of perimeter of the rectangular park and perimeter of the path (both external and internal perimeter)

Options

A.

(a) only (ii)

B.

(b) only (ii) and (iii)

C.

(c) only (i) and (iii)

D.

(d) all of the above

E.

(e) only (iii)

rectangular parkpath widtharea relationperimetergeometry

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