Question 1073175: You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool. A cement truck holds enough cement to cover 810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck, what is the widest you can make the patio around your new pool?
Found 3 solutions by jorel1380, ankor@dixie-net.com, MathTherapy:
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! Assuming the length and width are 24 ft. x 10 ft., and letting w equal the width of the patio around the pool, we get:
(2w-24)(2w-10)=810
4w²-68w-570=0
Using the quadratic formula, we get roots of 23.1543508898 and -6.15435088975. Throwing out the negative result, we get a width of the patio to be 23.154351 ft. ☺☺☺☺
Answer by ankor@dixie-net.com(22740)  (Show Source):
You can put this solution on YOUR website! You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool.
A cement truck holds enough cement to cover 810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck, what is the widest you can make the patio around your new pool?
:
810 sq/ft will be the area of the cement walk-way all around the pool
let x = the width of the walkway
then
the overall dimensions including the pool and the walkway will be
(2x+10) by (2x+24)
Overall area - pool area = walkway area
(2x+10)(2x+24) - (10*24) = 810
FOIL
4x^2 + 48x + 20x + 240 - 240 - 810 = 0
a quadratic equation
4x^2 + 68x - 810 = 0
simplify, divide by 2
2x^2 + 34x - 405 = 0
use the quadratic formula. a=2; b=34; c=-405
I got a positive solution of
x = 8.0756 ft or about 8' 1" is the width of the walk way
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool. A cement truck holds enough cement to cover 810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck, what is the widest you can make the patio around your new pool?
Correct answer:  .
A width of 23+ feet is both incorrect and RIDICULOUS! Do some of these people really have any clue about math?
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