What is the answer to 2

Mathematics

2 answers:

nirvana33 [79]3 years ago

8 0

3(2x+1) If you multiply this out, you will get 6x+3.

A = 4(6x + 3)
A = 4(6x) + 4(3)
A = 24x + 12

The answer is 24x+12.

dolphi86 [110]3 years ago

5 0

Hey there.

As we are looking for the perimeter of the polygon, we should understand the formula for each figure. For #2, we can clearly see that we have a square, which concludes that the perimeter for the figure is going to be 4S ('S' being the length of one side as all sides are equal).

Let's apply this to our problem.
P = 4S;
S = 6x + 3; set this up as an equation.

P = 4(6x + 3); apply the distributive property to the right side of the equation.
P = 4(6x) + 4(3);
P = 24x + 12

As we can see above, the perimeter of the square in problem #2 is going to be 24x + 12.

I hope this helps!

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insens350 [35]

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lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

$14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64$

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

$A = a * b$

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

$A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2$