Question

harold goldstein and his wife elaine recently installed a built in rectangular swimming pool measuring 25 ft by 35 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 cover256 sq feet? the max width of the border can be ?

Answer 1

The solution to the problem is as follows:

(2x+35)(2x+25)=(35)(25)+256

4x^2+120x+875=1131
4x^2+120x-256=0
 
x^2+30x-64=0

(x+32)(x-2)=0

x=2

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