Answer :

CastleRook
This is the concept of algebra, given that the area of a rectangular pool is (15x-9), the possible dimensions of the pool by factoring will be:
Area=length×width
Area=(15x-9)
factoring the above we get:
Area=3(5x-3)
therefore the possible dimension will be:
length=5x units
width=3 units

Answer:

3 and (5x-3).

Step-by-step explanation:

The area of a rectangle is

[tex]Area=lenght \times width[/tex]

It is given that the area of a rectangle is pool is (15x-9) square units.

We need to find the factors of (15x-9), to find the dimensions of the pool.

[tex]Area=15x-9[/tex]

It can be rewritten as

[tex]Area=3\times 5x-3\times 3[/tex]

It is clear that 3 is GCF.

Taking out GCF, we get

[tex]Area=3(5x-3)[/tex]

Since the area of a rectangle is the product of its dimensions, therefore 3 and (5x-3) are dimensions of the pool.

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