There are two rectangular swimming pools at the resort where Andy is staying with his

[lindamcphail]

Hi,
I m trying to help my daughter solve this problem in her homework.

There are two rectangular swimming pools at the resort where Andy is staying with his Dad.
The smaller pool is 7 meters longer than it is wide and has an area of 98m2.
The larger pool is 15 meters longer than it is wide and has an area of 250m2.
The combined width of both pools is 17 meters.

Use an algebraic method to find the length and width of each swimming pool.

We worked out that the smaller pool's width would be 7m and the length would be 14m. For the longer pool we worked out that the width would be 10m and the length would be 25m. We are stuck with getting the algebraic equation.

Any help or guidance appreciated.

 

[stapel]

I m trying to help my daughter solve this problem in her homework.

Many of us have learned -- the hard way! -- that trying to speak through a "translator" who doesn't "speak the language" is doomed to end badly. We need to speak with the student directly. Kindly please have your daughter reply with a clear statement of her own thoughts and efforts.

There are two rectangular swimming pools at the resort where Andy is staying with his Dad.
The smaller pool is 7 meters longer than it is wide and has an area of 98m2.

Use what you learned in your algebra class. (Since you posted this to "Intermediate/Advanced" algebra, you've already taken pre-algebra and beginning algebra. This beginning-algebra type question uses the same methods you learned back then.)

a) You are given a relationship between width and length, and an area. What variables and equations fit with this information?

b) The length is given in terms of the width. If "w" is "width", what expression stands for the length? (here)

c) Given this variable, this expression, and the given value for the area, what equation can you create?

d) What solution(s) do you get for this equation? (here)

e) Which solution is valid in this context?

Then do the same thing for the other pool. If you get stuck, please reply showing your answers to my questions above. Thank you!

 

[Deleted member 4993]

Hi,
I m trying to help my daughter solve this problem in her homework.

There are two rectangular swimming pools at the resort where Andy is staying with his Dad.
The smaller pool is 7 meters longer than it is wide and has an area of 98m2.
The larger pool is 15 meters longer than it is wide and has an area of 250m2.
The combined width of both pools is 17 meters.

Use an algebraic method to find the length and width of each swimming pool.

We worked out that the smaller pool's width would be 7m and the length would be 14m. → This is correct - but please explain how did you get those numbers.

For the longer pool we worked out that the width would be 10m and the length would be 25m. → This is correct - but please explain how did you get those numbers.

We are stuck with getting the algebraic equation.

Any help or guidance appreciated.

We need to know your "method" so that we can explain our "method" effectively.