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The side of a square has a measure of (2x+1) cm. Find the area of the square.
A. 4x² + 1 sq.cm
B. 4x² + 4x + 1
C 4x² + 2x + 1 sq.cm
D. 4x² + 2 sq.cm.​


Sagot :

Answer:

d.

but if you think the answer is not d
you may look at this
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Step-by-step explanation:

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