Question

In the space at the right, draw a triangle. Use an algebraic expression to label the length of each side. Write an expression for the perimeter of your triangle.Then simplify that expression.

Answer 1

Answer:

$P=4x+9$

Step-by-step explanation:

Basically, the problem is asking to make an triangle but without labeling its sides as number, but as algebraic expression.

So, let's say that all three sides are

$AB=x+1\\BC=x+3\\AC=2x+5$

Now, remember that the perimeter is the sum of all sides of a figure, so in this case would be

$P=(x+1)+(x+3)+(2x+5)$

To simplify this expression, we just need to reduce like terms as follows

$P=(x+1)+(x+3)+(2x+5)\\P=(x+x+2x)+(1+3+5)\\P=4x+9$

Therefore, the simplified expression of the perimeter is

$P=4x+9$

The image attached shows the triangle we used.

Answer 2

Answer: one side could be 2x+1 the for all three sides 3(2x+1)

Step-by-step explanation:

The 3 bieng how many sides amd 2x+1 is the expression for one side x being any number u choose.