Answer:
P = 4x² +6x -6
Step-by-step explanation:
We will use the formula for perimeter in terms of side lengths, then fill in the values given for the side lengths and simplify the result.
The perimeter (P) of a rectangle is given by the formula ...
P = 2(L +W)
where L and W represent the length and width. Filling in your given information, we have ...
P = 2((3x² +7x -5) +(-x² -4x +2))j
Collecting terms inside parentheses gives ...
P = 2((3-1)x² +(7-4)x +(-5+2)) = 2(2x² +3x -3)
Using the distributive property gives ...
P = 4x² +6x -6
