Question

6.
GEOMETRY The perimeter of the
square below can be shown by the
expression 12x2 + 24x. What is the
length of each side of the square?

Answer 1

Answer:

There are many sports that utilize geometric shapes to help mark out the specific areas of play. Take a look at the soccer pitch below, the field of play is made up of quadrilaterals, rectangles, 90 degree angles, and circles. Furthermore, these soccer pitches, tennis courts, and basketball courts have mirror symmetry.

Answer 2

Answer:

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