Question

A side of a square with area (4x² + 12x + 9) square unit is:
(options are given above )​

Answer 1

Question A side of a square with area (4x² + 12x + 9) square unit is:

answer 2x+3 units

Answer 2

2X+3 UNITS

The area of the square is 4x2+12x+9 square units. What expression represents the length of the side?

You can easily find it by factoring.

4x2+12x+9

We find two numbers that multiply to get 36 , but add to get 12 .

These terms are, 6 and 6

6∗6=36

6+6=12

So, we use these terms and replace them with 12x

4x2+6x+6x+9

We factor out the first two terms

4x2=2∗2∗x∗x

6x=2∗3∗x

We can see that they both share a factor of 2x

So, we write it as 2x(2x+3)

Now, we factor out the next two terms.

6x=2∗3∗x

9=3∗3

We can see that these two have a common factor of 3 .

So, we write it as 3(2x+3)

We put the two together 2x(2x+3)+3(2x+3)

We add them, and get (2x+3)(2x+3)

In other words, the length is 2x+3.

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