# A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 600 square meters, what is the with of the path?

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A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 600 square meters, what is the with of the path?

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Step 1

Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of the pool and the path combined is 600 square meters. The figure is given below

Step 2

Now the area of the pool and the ... help_outlineImage TranscriptioncloseArea lengthx width (20 2x)(10 2x) = 600 20040x 20x + 4x2 = 600 5010x5x+ x2 = 150 x15x-100 0 х* + (20-5)х — 100- 0 х* + 20х - 5х — 100 %3D0 x(x+20)-5x 20) 0 (x-5)x+20) 0 x -20 (not possible as length is always positive) fullscreen

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