Question

a triangle has side lengths of (7x - 4) centimeters, (x + 3) centimeters, and (3y + 2) centimeters. which expression represents the perimeter, in centimeters, of the triangle?
answer
1 + 3y + 8x
5y + 7x
3x + 5y + 4
-1 + 5y + 8x

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its three sides. So $P=(7x - 4)+(x + 3)+(3y + 2)$.

Step2: Remove parentheses

$P=7x-4+x + 3+3y + 2$.

Step3: Combine like - terms

Combine the $x$ terms: $7x+x=8x$; combine the constant terms: $-4 + 3+2=1$.
So $P=1 + 3y+8x$.

Answer:

$1 + 3y+8x$