SOLUTION: I need help solving this problem The length of a rectangular pool is 4 ft longer than the width. The area of the swimming pool measures 60 square ft. Find the dimensions of the

Algebra.Com
Question 610945: I need help solving this problem
The length of a rectangular pool is 4 ft longer than the width. The area of the swimming pool measures 60 square ft. Find the dimensions of the pool.
Answer by radh(108)   (Show Source): You can put this solution on YOUR website!
Let's write this word problem mathematically and remove excess. First of all, we know that .
The length of a rectangular pool is 4 ft longer than width (w+4). The area (*, not adding) measures 60 square feet.

To write this mathematically, it'd turn into: . We can simplify that: .

We'd then move the 60 to the other side to get:
Use the quadratic formula to get your solutions:

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=256 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, -10. Here's your graph:

Because there can't be a negative in getting a positive area, we'd assume x is 6.

Let's go back into the normal equation to check the length and the width: . It's correct, so we know that length is 10 and width is 6. :)

RELATED QUESTIONS

Please help me solve this word problem: The Jones Family have a rectangular swimming... (answered by josgarithmetic)
Can someone help me solve this problem? The width of a swimming pool is 18.5 ft.,... (answered by fractalier)
The length of swimming pool is 8m longer than its width and the area is... (answered by josgarithmetic)
a 3 ft wide sidewalk surrounds a rectangular swimming pool. the perimeter of the pool is (answered by mananth)
the length of a rectangular swimming pool is 4 ft. more than twice the width. If... (answered by richard1234)
the length of a swimming pool is 8m longer than its width and the area is 105 meter... (answered by ewatrrr)
The length of a swimming pool is 8m longer than its width and the area is 105 meter... (answered by Boreal)
the length of a swimming pool is 8m longer than its width and the area is... (answered by Alan3354)
The length of a swimming pool is 8 m longer than its width and the area is 105... (answered by Alan3354)