SOLUTION: A rectangluar swimming pool is 16 ft by 40ft. A tarp to go over the pool also covers a strip of equal width surrounding the pool. If the area of the tarp is 1100 ft, how wide is t

Question 119122: A rectangluar swimming pool is 16 ft by 40ft. A tarp to go over the pool also covers a strip of equal width surrounding the pool. If the area of the tarp is 1100 ft, how wide is the covered strip around the pool, round to the nearest tenth of a foot.
Found 2 solutions by checkley71, edjones:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
THE TARP HAS THE FOLLOWING DIMENTIOS:
(16+2X)(40+2X)=1100 WHERE X=THE WIDTH OF THE STRIP.
640+80x+32x+4x^2=1100
4x^2+112x+640-1100=0
4x^2+112x-460=0
4(x^2+28x-115)=0
using the quadratic equation we get
x=(-28+-sqrt[28^2-4*1*-115])/2*1
x=(-28+-sqrt[784+460])/2
x=(-28+-sqrt1244)/2
x=(-28+-35.27)/2
x=(-28+35.27)/2
x=7.27/2
x=3.64 answer for the width of the strip.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let x the width of the covered strip around the pool.
(x+16)*(x+40)=1100
x^2+56x+640=1100
x^2+56-460=0
The width of the strip is 7.3 ft (see below)
.
Ed

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=4976 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.27038417709679, -63.2703841770968. Here's your graph:

RELATED QUESTIONS
John and Chris Maney have designed a new in-ground swimming pool for their backyard. The... (answered by ankor@dixie-net.com)
A rectangular swimming pool with dimension of 11 meters and 8 meters is built in a... (answered by ikleyn)
A rectangular swimming pool with dimensions of 11m and 8m is built in a rectangular... (answered by mananth)
a 3 ft wide sidewalk surrounds a rectangular swimming pool. the perimeter of the pool is (answered by mananth)
A rectangular swimming pool has length 30 m by 20 m. There is a deck of uniform width... (answered by midwood_trail)
a rectangle pool is 34' x18'. around pool is rectangluar walkway 50' by 30'. Find the... (answered by checkley77)
A swimming pool is 16 feet wide and 40 feet long. If it is surrounded by square tiles,... (answered by mananth)
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 club swimming pool is 17 ft wide and 33 ft long. The club members want an exposed... (answered by ikleyn)