Question

The area of a rectangle is pool is (15x-9) square units. Factor 15x-9 to find possible dimensions of the pool

Answer 1

3 and (5x-3).

Explanation:

The area of a rectangle is

`Area=lenght * width`

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.

`Area=15x-9`

It can be rewritten as

`Area=3* 5x-3* 3`

It is clear that 3 is GCF.

Taking out GCF, we get

`Area=3(5x-3)`

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

Answer 2

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