Search 75,478 tutors
Ask a question
0 0

Write an expression in simplified form for the perimeter of a pentagon. The sides measure 3x, 6x-2, x+3 4x+1, and 5x-2.

Tutors, please sign in to answer this question.

1 Answer

To solve this question, you simply apply algebraic formulas to geometric relationships. 
The perimeter is simply the sum of the lengths of the sides of a shape. However, in this case, there is an "x" involved, so you must add algebraically.
Simply add the length of the sides up.
[3x] + [6x-2] + [x+3] + [4x+1] + [5x-2] = Perimeter
Now, simplify. Since adding is commutative, you can simply put all the variables first and constants next, no matter where they come from within the expression.
3x + 6x + x + 4x + 5x + -2 + 3 + 1 + -2 
19x + 0 (-2-2 + 3+1 cancel out)
The perimeter of this pentagon is 19x.
It was a pleasure to serve you. If you need help with any more math questions, feel free to contact me.


Woodbridge prealgebra tutors