Problema Solution

A rectangular swimming pool is 12 meters long and 8 meters wide. A tile border of uniform width is to be built around the pool using 120 meters of tile. The tile is from a discontinued stock (so no additional materials are available) and all 120 square meters are to be used.

A) how wide should the border be? (round to the nearest tenth of a meter.)

B) If zoning laws require at least a 2-meter-wide border around the pool, can this be done with the available tile?

Answer provided by our tutors

let 'x' represent the width of the border, x>0


(12 + 2x)(8 + 2x) - 12*8 = 120


by solving we find:


x = 2.4 m


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A) the border should be 2,4 meters width.


B) since 2.4 > 2 the answer is yes.