SOLUTION: a rectangle pool has an area of 800 ft^2. the length is 10 feet longer than the width. find the dimensions of the pool. solve by completing the square. round answers to the nearest

Question 972369: a rectangle pool has an area of 800 ft^2. the length is 10 feet longer than the width. find the dimensions of the pool. solve by completing the square. round answers to the nearest tenth of a foot.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
width=x
length=x+10
x(x+10)=800 ft^2
x^2 + 10 x= 800 ft^2.
x^2 +10x +25= 825
(x+5)^2=825
X+5+= +sqrt (825)
x=-5 +sqrt (825)=-5 +28.72=23.7 ft.
Check: 23.7ft width * 33.7ft length=798.69, which is in rounding error of 800 ft^2.
RELATED QUESTIONS
I need help solving this problem The length of a rectangular pool is 4 ft longer than... (answered by radh)

the area of a swimming pool is 200 square feet. the lengthof the pool is 10 feet longer... (answered by nerdybill)

The length of a pool is 8 ft more than the width. It has a 4 ft sidewalk around it. The... (answered by hamsanash1981@gmail.com)

The length of a swimming pool is twice the width. The area of the pool is 5000 ft^2. find (answered by stanbon,TimothyLamb)

a 3 ft wide sidewalk surrounds a rectangular swimming pool. the perimeter of the pool is (answered by mananth)

The area of a pool is 96. The length is 10 feet more than the width. Find the... (answered by dawnk925)

the length of a swimming pool is 12 feet longer than 1/2 its width. the perimeter of the... (answered by checkley77)

The width of a rectangular pool is 12 feet less than its length. The area of the pool is... (answered by josgarithmetic,ikleyn)

A rectangular pool is 8m longer than its width. The pool has a walk way of 2m around the... (answered by josgarithmetic,MathTherapy,ikleyn)