SOLUTION: jess and her husband made a rectangular swimming pool measuring 28 feet by 42 feet. They want to add a decorative tile border of uniform width around sides of the pool. How wide ca

Question 1008424: jess and her husband made a rectangular swimming pool measuring 28 feet by 42 feet. They want to add a decorative tile border of uniform width around sides of the pool. How wide can they make the tile border if they purchased enough tile to cover 624 square feet?
The maximum width of the border can be [ ] feet?
(Type an exact answer using radicals as needed)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

With length in ft and areas in square feet,
-->-->-->-->-->
We can solve the quadratic equation by any method
("completing the square", factoring, or using the quadratic formula),
to get the solutions
and .
For this word problem, the solution does not make sense,
so the maximum with for the border (achieved using all the tile available) is .

SOLVING THE EQUATION BY COMPLETING THE SQUARE:

-->-->-->-->
RELATED QUESTIONS
jess and her husband made a rectangular swimming pool measuring 28 feet by 42 feet. They... (answered by josgarithmetic)

John and Chris Maney have designed a new in-ground swimming pool for their backyard. The... (answered by ankor@dixie-net.com)

what will it cost to tile a rectangular floor measuring 225 feet by 28 feet if the tile... (answered by Alan3354)

What will it cost to tile a rectangular floor measuring 225feet by 31 feet if the tile... (answered by ikleyn)

solve: you have made a quilt that is 4ft by 5 ft. you want to use the remaining 10 square (answered by richwmiller)

A rectangular kitchen floor measures 20 feet by 13 feet. A stove on the floor has a... (answered by ikleyn)

A rectangle kitchen floor measures 12 feet by 10 feet. A stove on the floor has a... (answered by mananth)

A rectangular swimming pool 10 feet by 28 feet is surrounded by a concrete walkway of... (answered by richwmiller)

A rectangular swimming pool has a length of 10 feet and a width of 8 feet. The water in... (answered by ankor@dixie-net.com)