Question

sauare park is surrounded by a path of uniform width 2 metres all around it. The area
of the path is 288 sq. metres. Find the perimeter of the park.

Answer 1

Answer:

Step-by-step explanation:

Let x = the length of one side of the park

then

x^2 = the area of the park

and

(x+4) = the overall length of the side including the path

then

(x+4)^2 = the overall area

:

Overall area - park area = path area(288 sq/m)

(x+4)^2 - x^2 = 288

x^2 + 8x + 16 - x^2 = 288

;

Combine like terms, the x^2's cancel out

8x = 288 - 16

x = 272%2F8

x = 34 meters is the side of the park

then

4(34) = 136 meters is the perimeter of the park

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