Question

Bernard is asked to create a swimming pool and deck design for a new series of model homes currently being designed. Each home will have varying pool sizes depending on the lot size; however, there will be some similarities, so polynomial expressions will be used. Your task will be to help Bernard.
To fit the dimensions of the various land spaces, he realizes that the length of the pool has to be three times the size of the width plus 3, and the depth has to be 7 less than twice the length.
@ganeshie8 @Abhisar @Luigi0210 @paki

Answer 1

a. Create a variable to represent the width of the pool. Determine the expressions to represent length and the depth in terms of the width variable.
b. Determine the polynomial expression to represent the area of land space that the pool will cover.
c. Using the area and the depth expressions, determine the polynomial expression that is used to represent the volume.
d. Classify the volume polynomial by degree and number of terms.

Answer 2

One second let me look at it

Answer 3

Okay.

Answer 4

Wow this is a lot of explaining to do...

Answer 5

Yeah..

Answer 6

Create a variable to represent the width of the pool. Determine the expressions to represent length and the depth in terms of the width variable. Length = 3w + 3 Depth = 2l – 7 Width = 1/3 l-1

Answer 7

so thats a?

Answer 8

One second let me do it again

Answer 9

Okay.

Answer 10

a) Length = 3w +3 = 21
Depth = 21 - 7
Width = 1/31 - 1

Answer 11

b) Surface Area of Rectangular Prism = 2(wh+lw+lh)
2(((1/3 l-1)∙(2l-7) )+((3w+3)∙(1/3 l-1) )+

Answer 12

Dang Thanks.

Answer 13

You want help with the others?

Answer 14

Yes and is that the answer or B?

Answer 15

Here is the answer for b)

Answer 16

Surface Area of Rectangular Prism = 2(wh+lw+lh)
2(1/3 l-1) ∙ (2l-7) ) + (3w+3) ∙ (1/3 l-1) )

Answer 17

Huhh.. why is it like this...

Answer 18

refresh the page

Answer 19

Surface Area of Rectangular Prism = 2(wh+lw+lh)
2(1/31- 1) x (21 - 7) + (3w + 3) x (1/31- 1)

Answer 20

There we go

Answer 21

Okay now how about
C and D

Answer 22

The answer for c)

Answer 23

Btw thanks so much!!

Answer 24

ur welcome

Answer 25

The volume of a rectangular prism is length times width times height.
(3w + 3) x (21 - 7) x (1/31 - 1)

Answer 26

That's the answer for c)

Answer 27

For d)

Answer 28

d) I simplified the volume and it came out to.
〖21l〗^2 w+13lw+〖2l〗^2+21w-13l+21
This is a third degree polynomial.

Answer 29

nope let me do it again

Answer 30

if you refresh the page it gets rid of the question marks.

Answer 31

Ohh thanks

Answer 32

But I think that's all

Answer 33

okay thanks!!

Answer 34

Ur welcome... That was a lot of work

Answer 35

what are them things that is by the 211 or somthing

Answer 36

o just well u can do it like this instead (

Answer 37

I mean ( or )

Answer 38

Is that good now?

Answer 39

Yes but we got a problem there is more ill tag you in a new thread