SOLUTION: can you please assist me solving the problem...instructions... a triangle has sides 3x + 7, 4x - 9, and 5x + 6. find the polynomial that represents its perimeter.

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Question 71692: can you please assist me solving the problem...instructions...
a triangle has sides 3x + 7, 4x - 9, and 5x + 6. find the polynomial that represents its perimeter.
Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website!
The perimeter of a geometric figure is defined as the sum of the lengths of all its sides.
You are given that the three sides of a triangle are 3x + 7, 4x - 9, and 5x + 6. All you
need to do is to add up the expressions for the sides and the result will be the polynomial
that represents the perimeter.
.
In equation form we can write this as:
.

.
Where P represents the perimeter and x represents some unknown length.
.
Add all the terms that contain an x on the right side. You will add 3x + 4x + 5x and that
sum is 12x. Put it into the perimeter equation in place of the three terms that contained
an "x". The equation becomes:
.

.
Algebraically sum the three numbers on the right side. You will add +7 -9 and +6. The
result you should get is +4. Substitute that into the equation in place of the 7, the -9,
and the +6. The equation then is:
.
.
.
There it is ... the polynomial that represents the perimeter.
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Hope this helps you with your study of algebra and geometry.