using math to build a swimming pool

[dome661]

The pool design is: Rectangular, 25 meters long and 15 meters wide.

(Click thumbnail for larger image)



Question:

1. What is the area of the surface of the pool?
For this one i just did (25x2)+(15x2) which would be the perimeter, then I multiply it by 6. Then I multiply 6x2=12, and add 12 to 480 and get 492. which is the surface area.

2. What is the area of the end wall at the shallow end of the pool?
the area is length x the width, so 25x15?

3. What is the area of the end wall at the deep end of the pool?
I dont know.

4. What is the area of one of the sides walls of the pool?


Show work if possible please, Thank you.

 

[lookagain]

The pool design is: Rectangular, 25 meters long and 15 meters wide.

Question:

1. What is the area of the surface of the pool?What does this mean? The "surface of the pool" could
just mean the area of the shape of water if the pool were to be filled, for example.


For this one i just did (25x2)+(15x2) which would be the perimeter,
then I multiply it by 6. Then I multiply 6x2=12, and add 12 to 480 and get 492.
which is the surface area.

2. What is the area of the end wall at the shallow end of the pool?
the area is length x the width, so 25x15?It's 1 meter deep by 15 meters across. So...

3. What is the area of the end wall at the deep end of the pool? It's 6 meters deep by 15 meters across. So...
I dont know.

4. What is the area of one of the sides walls of the pool? Look at the side view of the image.From left to right,
you could split up the shape of the area of a side wall into a rectangle, trapezoid, and a rectangle.


> > Show work if possible please, < < Thank you.

I have some suggestions. Now, can you show (further) work and/or pertinent questions regarding my suggestions?

 

[dome661]

I have some suggestions. Now, can you show (further) work and/or pertinent questions regarding my suggestions?

I am not quite sure. If it was a rectangle pool with no shallow or one side of the pool is deeper than the other. But I use the formula for surface Area of a rectangle which is (Pxh)+(2b). the p=perimeter which I add all the side up 25x2 and 15x2 then add them. The rectangle, im guessing is the same side? Since it only give one side of 25 and the other side is 15, can i guess the other side have to also be 25 and 15? or do i have to use pythagorean theorem to figure out the sides? Next I multiply the height which is 6. I then add the perimeter and the height to the bx2, where base=6.

 

[dome661]

Question 1: I am not quite sure. If it was a rectangle pool with no shallow or one side of the pool is deeper than the other. But I use the formula for surface Area of a rectangle which is (Pxh)+(2b). the p=perimeter which I add all the side up 25x2 and 15x2 then add them. The rectangle, im guessing is the same side? Since it only give one side of 25 and the other side is 15, can i guess the other side have to also be 25 and 15? or do i have to use pythagorean theorem to figure out the sides? Next I multiply the height which is 6. I then add the perimeter and the height to the bx2, where base=6. I think it the Surface Area of the pool, not the water because I have more question to this. One ask how many gallons of water will it take to fill the pool?

Question 2: So it 15x1 which equal 15. Was a little confuse with the shallow end of the pool.

Question 3: So it 15x6 which equal 90.

Question 4: I see it. I think you said rectangle twice. So would it be 20x6? Where 10+10=20 is the length and 6 is the width. Since I only take half of the pool.

I have more question to this, I dont know if you may need it but i will post them later.

 

[HallsofIvy]

To get the area of the sides, break it into three simple figures. The "deep end" is a rectangle 6 meters deep and 10 m long. The "shallow end" is a rectangle 1 m deep and 5 m long. The sloping part is a "trapezoid" with bases 1 m and 6 m and height 10 m. The area of a trapezoid is the height times the average base: 10 times (6+ 1)/2= 10 times 7/2. Add those three areas to find the area of each side.

 

[dome661]

To get the area of the sides, break it into three simple figures. The "deep end" is a rectangle 6 meters deep and 10 m long. The "shallow end" is a rectangle 1 m deep and 5 m long. The sloping part is a "trapezoid" with bases 1 m and 6 m and height 10 m. The area of a trapezoid is the height times the average base: 10 times (6+ 1)/2= 10 times 7/2. Add those three areas to find the area of each side.

Area of trapezoid is: 10 times 7/2 is equal 35?

Area of a rectangle is: 10x6 which is 60.

Area of another rectangle is: 5x1 which is 5.

Then I add 35+60+5 which is 100. Then do i divide it by 2? Since it asking for one of the side.