Question

I really need help with this. Don't give me the direct answer though, I want someone to help me understand how to solve the question, and guide me to the answer:

At times, it is necessary to make plans even when all of the facts are not there. Bernard is currently facing such a dilemma. 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.

Answer 1

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.


Task 2

Bernard is realizing that his dimensions are not fitting the way that he wants it to because he forgot about the deck. The deck is going to be a rectangular space that borders the pool. Also, for the pool to fit just right, there must be a special product represented when either the area or volume expressions are determined. He wants you to design your own rectangular pool using polynomial expressions, including the deck that borders the pool.

A.Include a diagram or sketch of your pool and deck. Your diagram must have all dimensions represented with polynomials and ensure that a special product will be used.

B. Determine the polynomial expression to represent the area of land space that the pool will cover.

C. Determine the area of the deck that borders the pool based on your dimensions.
Be sure to include all of your work and calculations to receive full credit.

Answer 2

@mathstudent55 @mathmale @sleepyjess @triciaal @zepdrix

Answer 3

@AihberKhan @ParthKohli @pooja195 @tkhunny @AlexandervonHumboldt2 @SolomonZelman @welshfella @EclipsedStar @uri

Answer 4

@jagr2713 @ikram002p @ShadowLegendX

Answer 5

it lost me at task 2 :/ sorry idk

Answer 6

@retirEEd

Answer 7

@mathmate @imqwerty

Answer 8

Have you considered DRAWING a pool and surrounding deck?

Answer 9

Stop tagging people. Start showing your work.

Answer 10

In Part 1 I solved the area and the volume of the pool.

The volume is 18x^3 + 15x^2 - 3x

Answer 11

Please type out the algebraic expressions for the length, the width and the depth of the pool. Then I'd be able to check the accuracy of your 18x^3+15x^2- 3x.

Answer 12

Sorry, ran outta battery.

The width is x, the length is 3x + 3, and the depth is 6x - 1

Answer 13

@mathmale

Answer 14

The area is of the pool would be:

(3x + 3) * x which = x(3x + 3) which equals 3x^2 + 3x.

(3x^2 + 3x) * (6x - 1)

Using foil:

3x^2 * 6x is 18x^3.

Answer 15

3x * 6x is 18x^2

3x^2 * -1 is -3x^2

Answer 16

3x * -1 is -3x

Answer 17

Overall

18x^3 + 18x^2 - 3x^2 - 3x

Answer 18

Combine like terms:

18x^2 - 3x^2 = 15x^2.

Therefore, volume is 18x^3 + 15x^2 - 3x

Answer 19

@mathmale ?

Answer 20

I'm not going to go through all of your steps, above, but your factors are correct.

You'll need to make and share some drawings in Part B.

Answer 21

I don't really understand what I am supposed to do.

I can easily create a rectangle that would represent the area of the pool, but what would I do about the deck?

Am I supposed to create an equation or wut?

Sorry if I'm a bit slow @mathmale , I'm really sick and I have to finish this assignment lol

Answer 22

I did check your algebra after all, and find that your result is correct. congrats!

Answer 23

Right, but what am I supposed to do for the deck?