Harold goldstein and his wife elaine recently installed a built in rectangular swimming pool measuring 13 ft by 27 ft. they want to add a decorative tile border of uniform width around all sides of the pool. how wide can they make the tile border if they purchased enough tile to cover 176 sq feet? the max width of the border can be? ft?

Question

Physics

Carlie Francis

11 February, 15:43

Harold goldstein and his wife elaine recently installed a built in rectangular swimming pool measuring 13 ft by 27 ft. they want to add a decorative tile border of uniform width around all sides of the pool. how wide can they make the tile border if they purchased enough tile to cover 176 sq feet? the max width of the border can be? ft?

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Answers (1)

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Baylee Yang · Answer 1

Let us assume that W is the width of the border tile (with the units of ft.). Also, let A be the are which is equivalent to 296 sqft.

We establish this mathematical equation:

(28+2W) (42+2W) - 28*42=296

Then algebraically manipulate: (14+W) (21+W) - 14*21=74 W2+35W-74=0

Lastly, we factor:

(W+37) (W-2) = 0

W=2